id stringclasses 2
values | question stringclasses 2
values | image imagewidth (px) 383 408 | subquestions listlengths 5 5 | final_question stringclasses 2
values | ground_truth stringclasses 2
values | ground_truth_extracted stringclasses 2
values |
|---|---|---|---|---|---|---|
1 | Is this function continuous? | [
{
"answer": "The input values are discrete points: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.",
"question": "What are the allowed input values along the x-axis (n-axis)?"
},
{
"answer": "Yes, there are breaks between each of the points because the function is not defined for values between the integer inputs.",... | How does the presence of discrete input values in the domain affect the continuity of the function shown in the image? | The function's continuity is affected by the domain being discrete, as no intervals between the integer input values exist. Consequently, gaps between points indicate discontinuity. Because continuity requires no gaps or breaks when moving along the x-axis values, the function in the image is not continuous.
Final An... | The function is not continuous due to its discrete domain causing gaps between points. | |
4 | What is f(0.5)? | [
{
"answer": "m/N",
"question": "What is represented on the x-axis of the graph?"
},
{
"answer": "1/N",
"question": "What is represented on the y-axis of the graph?"
},
{
"answer": "m/N = 0.5",
"question": "According to the x-axis, what value should be used for calculation?"
},
{
... | Determine the value of the function when m/N is at its peak on the graph. | The peak value on the graph occurs at \( m/N = 0.5 \) where the y-axis value is 0.5.
Final Answer: 0.5 | 0.5 |
README.md exists but content is empty.
- Downloads last month
- 31