pid string | question string | image string | decoded_image image | choices sequence | unit null | precision float64 | answer string | question_type string | answer_type string | metadata dict | query string | subquestions list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
23 | The derivative of f(x) at x=2 is ____ that at x=5 | images/23.jpg | [
"larger than",
"equal to",
"smaller than"
] | null | null | equal to | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 393,
"img_width": 552,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The derivative of f(x) at x=2 is ____ that at x=5
Choices:
(A) larger than
(B) equal to
(C) smaller than | [
{
"answer": "2",
"question": "What is the slope of f(x) for x > 1.5?"
},
{
"answer": "-2",
"question": "What is the slope of f(x) for x < 1.5?"
},
{
"answer": "2",
"question": "Based on the graph, what is the slope of f(x) at x=2?"
},
{
"answer": "2",
"question": "Based o... | |
34 | Is this function continuous at each point? | images/34.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 479,
"img_width": 479,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this function continuous at each point?
Choices:
(A) Yes
(B) No | [
{
"answer": "1",
"question": "At x = -1, what is the function's value according to the solid dot?"
},
{
"answer": "2",
"question": "At x = -1, what is the limit of the function as x approaches from the left?"
},
{
"answer": "1",
"question": "At x = -1, what is the limit of the functi... | |
37 | What is the limit as x approaches -1? | images/37.jpg | null | null | null | 3 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 410,
"img_width": 408,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the limit as x approaches -1? | [
{
"answer": "2",
"question": "What is the value of g(x) as x approaches -1 from the left?"
},
{
"answer": "2",
"question": "What is the value of g(x) as x approaches -1 from the right?"
},
{
"answer": "Yes, there is a hole.",
"question": "Does the graph of g(x) have a hole or discont... | |
39 | Is this function odd or even? | images/39.jpg | [
"odd",
"even"
] | null | null | odd | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 304,
"img_width": 433,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this function odd or even?
Choices:
(A) odd
(B) even | [
{
"answer": "f(x) = f(-x) for all x in the domain",
"question": "What is the algebraic definition of an even function?"
},
{
"answer": "f(-x) = -f(x) for all x in the domain",
"question": "What is the algebraic definition of an odd function?"
},
{
"answer": "Symmetry about the y-axis",
... | |
65 | is f(3) > 0? | images/65.jpg | [
"Yes",
"No"
] | null | null | Yes | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 325,
"img_width": 327,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: is f(3) > 0?
Choices:
(A) Yes
(B) No | [
{
"answer": "0",
"question": "What is the value of x at the y-axis intercept?"
},
{
"answer": "Approximately 1",
"question": "What is the approximate y-value of the function when x is 3, based on the graph?"
},
{
"answer": "Positive",
"question": "Does the function's y-value appear t... | |
81 | What is the value of r at theta=3*pi/2? | images/81.jpg | null | null | null | -1 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 460,
"img_width": 616,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the value of r at theta=3*pi/2? | [
{
"answer": "270 degrees",
"question": "What angle in degrees corresponds to theta = 3*pi/2 radians?"
},
{
"answer": "The radial line pointing directly downwards.",
"question": "On the polar plot, what radial line corresponds to 270 degrees?"
},
{
"answer": "The blue line intersects the ... | |
117 | What is the range of this function? | images/117.jpg | [
"[0, 2]",
"[3, 2]",
"[2, 4]",
"[-3, 4]"
] | null | null | [0, 2] | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 356,
"img_width": 460,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the range of this function?
Choices:
(A) [0, 2]
(B) [3, 2]
(C) [2, 4]
(D) [-3, 4] | [
{
"answer": "0",
"question": "What is the minimum y-value of the function shown in the graph?"
},
{
"answer": "2",
"question": "What is the maximum y-value of the function shown in the graph?"
},
{
"answer": "Yes",
"question": "Are all y-values between the minimum and maximum y-value... | |
118 | What is the maximum value of this function? | images/118.jpg | null | null | null | 1 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 296,
"img_width": 600,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the maximum value of this function? | [
{
"answer": "Approximately 1.0",
"question": "What is the maximum y-value shown on the graph?"
},
{
"answer": "Approximately 1.5",
"question": "Around what x-value does the function reach its maximum value?"
},
{
"answer": "Approximately -1.0",
"question": "What is the minimum y-valu... | |
120 | What is the degree of this function? | images/120.jpg | null | null | null | 3 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 320,
"img_width": 312,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the degree of this function? | [
{
"answer": "Two",
"question": "How many turning points (local maxima or minima) does the graph have?"
},
{
"answer": "Extends indefinitely",
"question": "Does the graph extend indefinitely upwards and downwards, or does it flatten out?"
},
{
"answer": "Three",
"question": "What is t... | |
137 | Is the function (f: R to R) injective? | images/137.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 291,
"img_width": 258,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is the function (f: R to R) injective?
Choices:
(A) Yes
(B) No | [
{
"answer": "A function f is injective if for every y in the range of f, there is at most one x in the domain such that f(x) = y.",
"question": "What is the definition of an injective function?"
},
{
"answer": "The horizontal line test: if any horizontal line intersects the graph more than once, the... | |
151 | When does the function reach its local maximum? | images/151.jpg | [
"(u1, u2) = (0, 0)",
"(u1, u2) = (1, 0)",
"(u1, u2) = (0, 1)",
"(u1, u2) = (1, 1)"
] | null | null | (u1, u2) = (0, 0) | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 325,
"img_width": 458,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: When does the function reach its local maximum?
Choices:
(A) (u1, u2) = (0, 0)
(B) (u1, u2) = (1, 0)
(C) (u1, u2) = (0, 1)
(D) (u1, u2) = (1, 1) | [
{
"answer": "(0,0)",
"question": "What are the coordinates (u1, u2) at which the function f(u1, u2) attains its maximum value?"
},
{
"answer": "Approximately 1",
"question": "What is the value of the function f(u1, u2) at the point where u1 and u2 are both 0?"
},
{
"answer": "Decreases",... | |
154 | Is this an odd function? | images/154.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 744,
"img_width": 1114,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this an odd function?
Choices:
(A) Yes
(B) No | [
{
"answer": "g(x) = 0.5^x",
"question": "What is the general equation of the graphed function g(x)?"
},
{
"answer": "0.5",
"question": "What is the value of g(1)?"
},
{
"answer": "2",
"question": "What is the value of g(-1)?"
},
{
"answer": "No, g(-1) = 2, -g(1) = -0.5, and 2... | |
156 | What is the limit of the as x approaches 1 from the left side? | images/156.jpg | null | null | null | 4 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 291,
"img_width": 327,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the limit of the as x approaches 1 from the left side? | [
{
"answer": "f(x) = x + 3",
"question": "What is the function defined for x values less than 1?"
},
{
"answer": "4",
"question": "What is the limit of f(x) = x+3 as x approaches 1?"
},
{
"answer": "No, there is a different function defined for x >= 1",
"question": "At x=1, is the fun... | |
167 | What is the biggest zero of this function? | images/167.jpg | null | null | null | 2 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 1920,
"img_width": 1920,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the biggest zero of this function? | [
{
"answer": "Three",
"question": "How many times does the function, as shown in the graph, intersect the x-axis?"
},
{
"answer": "Approximately -4, -2, and 2",
"question": "What are the approximate x-coordinates where the function intersects the x-axis?"
},
{
"answer": "2",
"question... | |
170 | f(-1) is ____ f(0). | images/170.jpg | [
"larger than",
"equal to",
"smaller than"
] | null | null | smaller than | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 296,
"img_width": 600,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: f(-1) is ____ f(0).
Choices:
(A) larger than
(B) equal to
(C) smaller than | [
{
"answer": "Approximately -0.8",
"question": "What is the approximate y-value of the function at x = -1 according to the graph?"
},
{
"answer": "Approximately 0",
"question": "What is the approximate y-value of the function at x = 0 according to the graph?"
},
{
"answer": "Less than",
... | |
217 | What is the degree of this function? | images/217.jpg | null | null | null | 2 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 202,
"img_width": 304,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the degree of this function? | [
{
"answer": "Parabola",
"question": "What is the general shape of the curve shown in the image?"
},
{
"answer": "Downwards",
"question": "Does the parabola open upwards or downwards?"
},
{
"answer": "Quadratic function",
"question": "What type of function is represented by a parabola... | |
223 | Is this an even function? | images/223.jpg | [
"Yes",
"No"
] | null | null | Yes | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 776,
"img_width": 1430,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this an even function?
Choices:
(A) Yes
(B) No | [
{
"answer": "f(x) = c",
"question": "What is the equation of the function shown in the image?"
},
{
"answer": "A constant value for all x",
"question": "What does 'c' represent in the context of the graph?"
},
{
"answer": "c",
"question": "What is the value of f(0) based on the graph... | |
224 | Is this a periodic function? | images/224.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 744,
"img_width": 1114,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this a periodic function?
Choices:
(A) Yes
(B) No | [
{
"answer": "A periodic function is a function that repeats its values in regular intervals or periods.",
"question": "What is the general definition of a periodic function?"
},
{
"answer": "g(x) = 0.5^x",
"question": "According to the image, what is the equation of the given function?"
},
{... | |
235 | Is the epigraph of a function f an infinite set? | images/235.jpg | [
"Yes",
"No"
] | null | null | Yes | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 266,
"img_width": 412,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is the epigraph of a function f an infinite set?
Choices:
(A) Yes
(B) No | [
{
"answer": "The epigraph of a function f is the set of points lying on or above its graph: epi f = {(x, y) | y >= f(x)}.",
"question": "What is the definition of the epigraph of a function f?"
},
{
"answer": "Yes, the shaded region labeled 'epi f' in the image represents the epigraph of the functio... | |
260 | Is the derivative of the function positive between [1, 2] assuming that it's differentiable? | images/260.jpg | [
"Yes",
"No"
] | null | null | Yes | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 368,
"img_width": 412,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is the derivative of the function positive between [1, 2] assuming that it's differentiable?
Choices:
(A) Yes
(B) No | [
{
"answer": "Approximately -0.8",
"question": "What is the value of the function at x=1?"
},
{
"answer": "Approximately 0.3",
"question": "What is the value of the function at x=2?"
},
{
"answer": "Increase",
"question": "Does the function increase or decrease between x=1 and x=2?"
... | |
287 | Which region is larger? R1 or R2?
A. R1
B. R2 | images/287.jpg | [
"R1",
"R2",
"R5",
"R3",
"R4"
] | null | null | R2 | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 325,
"img_width": 370,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Which region is larger? R1 or R2?
A. R1
B. R2
Choices:
(A) R1
(B) R2
(C) R5
(D) R3
(E) R4 | [
{
"answer": "f(x) = sin x",
"question": "What function defines the upper boundary of region R1?"
},
{
"answer": "g(x) = cos x",
"question": "What function defines the lower boundary of region R1?"
},
{
"answer": "Approximately -π/2 and π/2",
"question": "Based on the graph, what are ... | |
296 | The value of f(-3) is ____ the value of f(2) | images/296.jpg | [
"larger than",
"equal to",
"smaller than"
] | null | null | equal to | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 776,
"img_width": 1430,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The value of f(-3) is ____ the value of f(2)
Choices:
(A) larger than
(B) equal to
(C) smaller than | [
{
"answer": "Constant function",
"question": "According to the graph, what type of function is f(x)?"
},
{
"answer": "c = 1.5",
"question": "What is the value of 'c' based on the graph?"
},
{
"answer": "1.5",
"question": "What is the value of f(-3)?"
},
{
"answer": "1.5",
... | |
302 | What is the green curve? | images/302.jpg | [
"a polynomial",
"a trigonometric function",
"an exponential function",
"a logarithmic function"
] | null | null | a logarithmic function | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 300,
"img_width": 531,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the green curve?
Choices:
(A) a polynomial
(B) a trigonometric function
(C) an exponential function
(D) a logarithmic function | [
{
"answer": "x^2, x, sin(x), and ln(x)",
"question": "What functions are listed in the graph's title?"
},
{
"answer": "Green",
"question": "Which color corresponds to the ln(x) function according to the title?"
},
{
"answer": "No",
"question": "Does the green curve have values for x ... | |
308 | What is this function most likely be? | images/308.jpg | [
"a polynomial",
"a trigonometric function",
"an exponential function",
"a logarithmic function"
] | null | null | a trigonometric function | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 276,
"img_width": 482,
"language": "english",
"skills": [
"algebraic reasoning",
"statistical reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is this function most likely be?
Choices:
(A) a polynomial
(B) a trigonometric function
(C) an exponential function
(D) a logarithmic function | [
{
"answer": "Yes",
"question": "Does the function appear to be periodic?"
},
{
"answer": "1",
"question": "What is the amplitude of the function?"
},
{
"answer": "(0,0)",
"question": "Does the function start at (0,0), or (0,amplitude)?"
},
{
"answer": "Approximately 6.28, or ... | |
329 | The derivative of y at x=6 is ____ that at x=8 | images/329.jpg | [
"larger than",
"equal to",
"smaller than"
] | null | null | larger than | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 2039,
"img_width": 2560,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The derivative of y at x=6 is ____ that at x=8
Choices:
(A) larger than
(B) equal to
(C) smaller than | [
{
"answer": "y=log2(x)",
"question": "What is the function y(x) shown in the image?"
},
{
"answer": "dy/dx = 1/(x*ln(2))",
"question": "What is the derivative of the function y=log2(x)?"
},
{
"answer": "1/(6*ln(2))",
"question": "What is the value of the derivative at x=6?"
},
{
... | |
346 | What is the y-intercept of this function? | images/346.jpg | null | null | null | 1 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 339,
"img_width": 341,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the y-intercept of this function? | [
{
"answer": "The point where the graph of the function intersects the y-axis.",
"question": "What is the definition of the y-intercept of a function?"
},
{
"answer": "The curve intersects the y-axis at the point (0,1).",
"question": "On the given graph, where does the curve intersect the y-axis?... | |
369 | Is the function (f: R to R) surjective? | images/369.jpg | [
"Yes",
"No"
] | null | null | Yes | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 331,
"img_width": 266,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is the function (f: R to R) surjective?
Choices:
(A) Yes
(B) No | [
{
"answer": "All real numbers",
"question": "What is the range of the function f(x) = x^3 as depicted in the image?"
},
{
"answer": "Yes",
"question": "Does the function f(x) = x^3 cover all possible y-values?"
},
{
"answer": "Yes",
"question": "According to the definition of surject... | |
409 | What is the radius of this circle? | images/409.jpg | null | null | null | 5 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 356,
"img_width": 358,
"language": "english",
"skills": [
"geometry reasoning",
"arithmetic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the radius of this circle? | [
{
"answer": "(0, 0)",
"question": "What are the coordinates of the center of the circle in the image?"
},
{
"answer": "4",
"question": "What is the x-coordinate where the circle intersects the positive x-axis?"
},
{
"answer": "4 units",
"question": "What is the distance between the c... | |
430 | The derivative of f(x) at x=0 is ____ that at x=5 | images/430.jpg | [
"larger than",
"equal to",
"smaller than"
] | null | null | smaller than | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 393,
"img_width": 552,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The derivative of f(x) at x=0 is ____ that at x=5
Choices:
(A) larger than
(B) equal to
(C) smaller than | [
{
"answer": "-2",
"question": "What is the slope of the graph to the left of x=1.5?"
},
{
"answer": "2",
"question": "What is the slope of the graph to the right of x=1.5?"
},
{
"answer": "-2",
"question": "What is the slope of the graph at x=0?"
},
{
"answer": "2",
"ques... | |
439 | is this function convex? | images/439.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 256,
"img_width": 539,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: is this function convex?
Choices:
(A) Yes
(B) No | [
{
"answer": "Yes",
"question": "Does the function in the image have any regions where a line segment between two points on the surface lies below the surface?"
},
{
"answer": "Yes",
"question": "Does the function in the image have any regions where it curves upwards?"
},
{
"answer": "Yes... | |
452 | Based on the image, what is the most likely equilibrium population count? | images/452.jpg | [
"40",
"60",
"80",
"100"
] | null | null | 80 | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 366,
"img_width": 441,
"language": "english",
"skills": [
"algebraic reasoning",
"statistical reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Based on the image, what is the most likely equilibrium population count?
Choices:
(A) 40
(B) 60
(C) 80
(D) 100 | [
{
"answer": "Nm which represents population size",
"question": "What variable is represented on the vertical axis of the graph?"
},
{
"answer": "m, an independent variable related to time or generations.",
"question": "What variable is represented on the horizontal axis of the graph?"
},
{
... | |
493 | Is the function differentiable at every point? | images/493.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 847,
"img_width": 800,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is the function differentiable at every point?
Choices:
(A) Yes
(B) No | [
{
"answer": "Yes, there are sharp corners at the plotted points.",
"question": "Are there any sharp corners or cusps in the graph?"
},
{
"answer": "Yes, the graph consists of line segments connecting the data points.",
"question": "Does the graph consist of connected line segments?"
},
{
... | |
572 | When does the function start decreasing? | images/572.jpg | null | null | null | 5 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 316,
"img_width": 400,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: When does the function start decreasing? | [
{
"answer": "5",
"question": "At what x-value does the function's y-value first become lower than the previous y-value?"
},
{
"answer": "0.25",
"question": "What is the y-value of the function when x=4?"
},
{
"answer": "approximately 0.13",
"question": "What is the y-value of the fun... | |
592 | What is the global maximum of this function? | images/592.jpg | null | null | null | 4 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 318,
"img_width": 283,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the global maximum of this function? | [
{
"answer": "Approximately 4",
"question": "What is the highest y-value reached by the function in the image?"
},
{
"answer": "Yes",
"question": "Does the function appear to repeat its maximum y-value within the viewed interval?"
},
{
"answer": "No",
"question": "Is there any part of... | |
619 | What is the value of f(4)? | images/619.jpg | null | null | null | 16 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 666,
"img_width": 970,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the value of f(4)? | [
{
"answer": "f(x) = 2^x",
"question": "What is the function f(x) defined in the image?"
},
{
"answer": "x = 4",
"question": "What value of x are we asked to evaluate f(x) at?"
},
{
"answer": "f(4) = 2^4",
"question": "What is the function f(x) when x is 4?"
},
{
"answer": "16... | |
648 | What is the minimum value of this function? | images/648.jpg | null | null | null | -1 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 296,
"img_width": 600,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the minimum value of this function? | [
{
"answer": "-1.0",
"question": "What is the approximate y-value of the lowest point on the graphed function?"
},
{
"answer": "-1.5",
"question": "Around what x-value does the function reach its minimum?"
},
{
"answer": "Yes",
"question": "Is the function continuous across the plotte... | |
661 | What is this function most likely be? | images/661.jpg | [
"a polynomial",
"a trigonometric function",
"an exponential function",
"a logarithmic function"
] | null | null | a trigonometric function | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 1274,
"img_width": 1732,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is this function most likely be?
Choices:
(A) a polynomial
(B) a trigonometric function
(C) an exponential function
(D) a logarithmic function | [
{
"answer": "π",
"question": "What is the period of the function shown in the graph?"
},
{
"answer": "Yes, at θ = -3π/2, -π/2, π/2, and 3π/2",
"question": "Does the function have any vertical asymptotes, and if so, where are they located?"
},
{
"answer": "0",
"question": "What is the... | |
671 | What is the size of the semicircle rounded to 2 decimal places? | images/671.jpg | null | null | 2 | 14.14 | free_form | float | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 312,
"img_width": 433,
"language": "english",
"skills": [
"geometry reasoning",
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring a floating-point number with two decimal places and provide the final value, e.g., 1.23, 1.34, 1.45, at the end.
Question: What is the size of the semicircle rounded to 2 decimal places? | [
{
"answer": "3",
"question": "What is the radius of the semicircle?"
},
{
"answer": "πr^2",
"question": "What is the formula for the area of a full circle with radius r?"
},
{
"answer": "(πr^2)/2",
"question": "What is the formula for the area of a semicircle with radius r?"
},
{... | |
686 | Is this function invertible? | images/686.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 442,
"img_width": 731,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this function invertible?
Choices:
(A) Yes
(B) No | [
{
"answer": "Horizontal Line Test",
"question": "What test can be used on a graph to determine if a function is invertible?"
},
{
"answer": "It must intersect the function at most once.",
"question": "According to the Horizontal Line Test, what must be true about the number of times any horizont... | |
709 | What is the value of f(0)? | images/709.jpg | null | null | null | 4 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 393,
"img_width": 552,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the value of f(0)? | [
{
"answer": "f(x) = |2x - 3| + 1",
"question": "What is the expression for f(x) shown in the image?"
},
{
"answer": "-3",
"question": "What is the value of 2x - 3 when x = 0?"
},
{
"answer": "3",
"question": "What is the absolute value of -3?"
},
{
"answer": "4",
"questio... | |
715 | Is this a periodic function? | images/715.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 1920,
"img_width": 1920,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this a periodic function?
Choices:
(A) Yes
(B) No | [
{
"answer": "3",
"question": "What is the highest degree of the polynomial in the function f(x)?"
},
{
"answer": "No",
"question": "Does the graph show the function repeating its pattern identically over regular intervals?"
},
{
"answer": "No",
"question": "Is there a fixed interval ... | |
720 | When does the function value first reach 2? | images/720.jpg | null | null | null | 2 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 350,
"img_width": 362,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: When does the function value first reach 2? | [
{
"answer": "2",
"question": "At what x-value does the function begin to have a y-value of 2?"
},
{
"answer": "From x=2 to x=4",
"question": "For what range of x-values does the function have a constant value of 2?"
},
{
"answer": "Yes",
"question": "Is the function value exactly 2 a... | |
721 | How many odd functions are in the graph? | images/721.jpg | null | null | null | 4 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 297,
"img_width": 441,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: How many odd functions are in the graph? | [
{
"answer": "A function f(x) is odd if f(-x) = -f(x) for all x in its domain.",
"question": "What is the definition of an odd function?"
},
{
"answer": "Rotational symmetry of 180 degrees about the origin.",
"question": "What kind of symmetry does an odd function have about the origin?"
},
{... | |
723 | Is the function convex? | images/723.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 277,
"img_width": 468,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is the function convex?
Choices:
(A) Yes
(B) No | [
{
"answer": "Concave down",
"question": "What is the concavity of the function for x < a, where a is marked on the x-axis?"
},
{
"answer": "Concave up",
"question": "What is the concavity of the function for x > b, where b is marked on the x-axis?"
},
{
"answer": "Yes",
"question": "... | |
738 | Is this function continuous? | images/738.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 268,
"img_width": 383,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is this function continuous?
Choices:
(A) Yes
(B) No | [
{
"answer": "m/N",
"question": "What is plotted on the x-axis of the graph?"
},
{
"answer": "1/N",
"question": "What is plotted on the y-axis of the graph?"
},
{
"answer": "Yes, the function has many discontinuities",
"question": "Does the function have any discontinuities or breaks?... | |
755 | What is this function most likely be? | images/755.jpg | [
"a polynomial",
"a trigonometric function",
"an exponential function",
"a logarithmic function"
] | null | null | a polynomial | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 776,
"img_width": 1430,
"language": "english",
"skills": [
"algebraic reasoning",
"statistical reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is this function most likely be?
Choices:
(A) a polynomial
(B) a trigonometric function
(C) an exponential function
(D) a logarithmic function | [
{
"answer": "Horizontal",
"question": "What is the shape of the line in the graph?"
},
{
"answer": "Approximately 1.5",
"question": "What is the y-value where the horizontal line intersects the y-axis?"
},
{
"answer": "c",
"question": "According to the table, what is the value of f(x... | |
762 | What is the center of symmetry of this function? | images/762.jpg | [
"(0, 0)",
"(-1, 0)",
"(2, 0)"
] | null | null | (0, 0) | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 395,
"img_width": 500,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: What is the center of symmetry of this function?
Choices:
(A) (0, 0)
(B) (-1, 0)
(C) (2, 0) | [
{
"answer": "x=0",
"question": "At what x-value does the function cross the x-axis near the origin?"
},
{
"answer": "y=0",
"question": "What is the y-value of the function at x=0?"
},
{
"answer": "x=1",
"question": "At what x-value does the local minimum occur?"
},
{
"answer"... | |
767 | What is the maximum value of y? | images/767.jpg | null | null | null | 5 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 429,
"img_width": 483,
"language": "english",
"skills": [
"geometry reasoning",
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the maximum value of y? | [
{
"answer": "x^2 + y^2 = 25",
"question": "What is the equation representing the circle in the image?"
},
{
"answer": "5",
"question": "What is the radius of the circle?"
},
{
"answer": "(0, 0)",
"question": "Where is the center of the circle located?"
},
{
"answer": "(0, 5)"... | |
770 | What is the amplitude of this function? | images/770.jpg | null | null | null | 1 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 276,
"img_width": 482,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the amplitude of this function? | [
{
"answer": "1.0",
"question": "What is the maximum y-value reached by the function on the graph?"
},
{
"answer": "-1.0",
"question": "What is the minimum y-value reached by the function on the graph?"
},
{
"answer": "1.0",
"question": "What is the difference between the maximum y-va... | |
832 | What is the value of f(0)? | images/832.jpg | null | null | null | -2 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 1920,
"img_width": 1920,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the value of f(0)? | [
{
"answer": "f(x) = (x^3 + 3x^2 - 6x - 8)/4",
"question": "What is the expression for f(x) given in the image?"
},
{
"answer": "0",
"question": "What value should be substituted for 'x' in the function f(x) to find f(0)?"
},
{
"answer": "0",
"question": "What is the value of x^3 when... | |
847 | Which function grows the fastest as x increases? | images/847.jpg | [
"red",
"purple",
"blue"
] | null | null | red | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 1294,
"img_width": 1706,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Which function grows the fastest as x increases?
Choices:
(A) red
(B) purple
(C) blue | [
{
"answer": "log2(x), loge(x) also written as ln(x), and log10(x)",
"question": "What are the equations of the three logarithmic functions plotted in the graph?"
},
{
"answer": "log2(x)",
"question": "For a given large value of x, which of the three functions has the highest y-value?"
},
{
... | |
874 | What is the value of y at x=-2.5? | images/874.jpg | null | null | null | 2 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 479,
"img_width": 479,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the value of y at x=-2.5? | [
{
"answer": "2",
"question": "What is the value of y when x is between -3 (inclusive) and -2 (exclusive)?"
},
{
"answer": "1",
"question": "What is the value of y when x is exactly -2?"
},
{
"answer": "Yes",
"question": "Is x=-2.5 between -3 (inclusive) and -2 (exclusive)?"
},
{
... | |
893 | What is the limit of the blue function as x approaches negative infinity? | images/893.jpg | null | null | null | 0 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 331,
"img_width": 327,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the limit of the blue function as x approaches negative infinity? | [
{
"answer": "Blue",
"question": "In the graph, what color is the function we are interested in?"
},
{
"answer": "The y-value increases",
"question": "As x moves towards the left side of the graph (negative infinity), what happens to the y-value of the blue function?"
},
{
"answer": "No",... | |
926 | What is the size of the shaded area under the curve? Round the answer to 2 decimal places | images/926.jpg | null | null | 2 | 7.07 | free_form | float | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 312,
"img_width": 433,
"language": "english",
"skills": [
"geometry reasoning",
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring a floating-point number with two decimal places and provide the final value, e.g., 1.23, 1.34, 1.45, at the end.
Question: What is the size of the shaded area under the curve? Round the answer to 2 decimal places | [
{
"answer": "Semicircle",
"question": "What is the shape of the curve defined by f(x) in the image?"
},
{
"answer": "f(x) = sqrt(9 - (x-3)^2)",
"question": "What is the equation of the curve shown in the image?"
},
{
"answer": "3",
"question": "What is the radius of the semicircle?"
... | |
942 | What is the value of f(0)? | images/942.jpg | null | null | null | 0 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 395,
"img_width": 500,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: What is the value of f(0)? | [
{
"answer": "The x-axis represents the input value of the function, denoted as 'x'.",
"question": "What is represented on the x-axis?"
},
{
"answer": "The y-axis represents the output value of the function, denoted as 'f(x)'.",
"question": "What is represented on the y-axis?"
},
{
"answe... | |
950 | The slope of f(x) at x=0 is ____ | images/950.jpg | [
"positive",
"negative",
"zero",
"undefined"
] | null | null | positive | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 744,
"img_width": 1114,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The slope of f(x) at x=0 is ____
Choices:
(A) positive
(B) negative
(C) zero
(D) undefined | [
{
"answer": "g(x) = 0.5^x",
"question": "What function is graphed in the image?"
},
{
"answer": "g'(x) = 0.5^x * ln(0.5)",
"question": "What is the derivative of the function g(x) = 0.5^x?"
},
{
"answer": "x=0",
"question": "What is the value of x at which we need to evaluate the slo... | |
962 | The value of y at x=10 is ____ that at x=70. | images/962.jpg | [
"larger than",
"equal to",
"smaller than"
] | null | null | smaller than | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 301,
"img_width": 387,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: The value of y at x=10 is ____ that at x=70.
Choices:
(A) larger than
(B) equal to
(C) smaller than | [
{
"answer": "Approximately 10",
"question": "Approximately what is the value of y when x is 10, based on the graph?"
},
{
"answer": "Approximately 70",
"question": "Approximately what is the value of y when x is 70, based on the graph?"
},
{
"answer": "Increasing",
"question": "Is th... | |
963 | For what x does f reach its local maximum? | images/963.jpg | null | null | null | 3 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 397,
"img_width": 441,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: For what x does f reach its local maximum? | [
{
"answer": "Approximately x = 3",
"question": "At what x-value does the graph of f(x) reach its highest point in the interval shown?"
},
{
"answer": "Approximately 0",
"question": "What is the value of f'(x) at x = 3 according to the provided graph?"
},
{
"answer": "f'(x) = 0",
"que... | |
973 | How many zeros does this function have? | images/973.jpg | null | null | null | 1 | free_form | integer | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 2039,
"img_width": 2560,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question requiring an integer answer and provide the final value, e.g., 1, 2, 3, at the end.
Question: How many zeros does this function have? | [
{
"answer": "Logarithmic function",
"question": "What type of function is represented in the graph?"
},
{
"answer": "The x-value(s) where the function crosses or touches the x-axis (y=0).",
"question": "What is a zero of a function?"
},
{
"answer": "x=1",
"question": "At what x-value... | |
991 | Which functions have no zeros? | images/991.jpg | [
"green and red",
"blue and orange",
"purple and grey"
] | null | null | purple and grey | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 383,
"img_width": 616,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Which functions have no zeros?
Choices:
(A) green and red
(B) blue and orange
(C) purple and grey | [
{
"answer": "y = 1/x",
"question": "What is the equation for function 'q'?"
},
{
"answer": "y = 1/x^2",
"question": "What is the equation for function 'r'?"
},
{
"answer": "No",
"question": "Does the graph of function 'q' intersect the x-axis?"
},
{
"answer": "No",
"quest... | |
997 | Is kx^2/2 larger than E at x=0? | images/997.jpg | [
"Yes",
"No"
] | null | null | No | multi_choice | text | {
"category": "math-targeted-vqa",
"context": "function plot",
"grade": "college",
"img_height": 197,
"img_width": 537,
"language": "english",
"skills": [
"algebraic reasoning"
],
"source": "FunctionQA",
"split": "testmini",
"task": "textbook question answering"
} | Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: Is kx^2/2 larger than E at x=0?
Choices:
(A) Yes
(B) No | [
{
"answer": "0",
"question": "What is the value of kx^2/2 when x=0?"
},
{
"answer": "E is greater than 0",
"question": "What is the value of E at x=0 according to the graph?"
},
{
"answer": "Positive",
"question": "Based on the graph, is E positive, negative or zero?"
},
{
"a... |
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