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ConceptID,ConceptLabel,Dependencies,TaxonomyID
1,Relation,,FOUND
2,Function,1,FOUND
3,Domain,2,FOUND
4,Range,2,FOUND
5,Input Variable,2,FOUND
6,Output Variable,2,FOUND
7,Function Notation,2|5|6,FOUND
8,Dependent Variable,6,FOUND
9,Independent Variable,5,FOUND
10,Mapping Diagram,2|3|4,FOUND
11,Vertical Line Test,2|18,FOUND
12,Ordered Pair,,FOUND
13,Coordinate Plane,12|14|15,FOUND
14,X-Axis,,FOUND
15,Y-Axis,,FOUND
16,Origin,14|15,FOUND
17,Cartesian Coordinates,13|16,FOUND
18,Graph of a Function,2|13,GRAPH
19,Table of Values,2|5|6,FOUND
20,Function Representations,18|19|7,FOUND
21,Interval Notation,3|4,FOUND
22,Set Builder Notation,3|4,FOUND
23,Real Number Line,177,ALG
24,Continuous Function,2|3,FOUND
25,Discrete Function,2|3,FOUND
26,Linear Function,2|27|28,LIN
27,Slope,13,LIN
28,Y-Intercept,15|18,GRAPH
29,X-Intercept,14|18,GRAPH
30,Gradient-Intercept Form,26|27|28,LIN
31,General Form of a Line,26,LIN
32,Point-Gradient Form,26|27|17,LIN
33,Gradient Calculation,27|17|12,LIN
34,Positive Gradient,27,LIN
35,Negative Gradient,27,LIN
36,Zero Gradient,27|60,LIN
37,Undefined Gradient,27,LIN
38,Parallel Lines,27|30,LIN
39,Perpendicular Lines,27|38,LIN
40,Linear Equation Solving,26|174|185,LIN
41,Simultaneous Equations,40|182|183,LIN
42,Intersection of Lines,41|18,LIN
43,Real-World Linear Models,26|44|197,LIN
44,Rate of Change,27,LIN
45,Direct Proportion,26|44,LIN
46,Graphing Technology,18,GRAPH
47,Window Settings,46,GRAPH
48,Sketching vs Drawing,18|46,GRAPH
49,Key Graph Features,18|50|54|56,GRAPH
50,Turning Points,18|58|59,GRAPH
51,Maximum Point,50,GRAPH
52,Minimum Point,50,GRAPH
53,Axis of Symmetry,63|67,QUAD
54,Roots of a Function,2|29,GRAPH
55,Zeros of a Function,54,GRAPH
56,Function Intercepts,28|29,GRAPH
57,Intersection of Curves,46|18,GRAPH
58,Increasing Function,18|27,GRAPH
59,Decreasing Function,18|27,GRAPH
60,Constant Function,2,FOUND
61,Identity Function,2|7,FOUND
62,Quadratic Function,2|170|171,QUAD
63,Parabola,62|18,QUAD
64,Standard Form Quadratic,62|170|28,QUAD
65,Factored Form Quadratic,62|54|70,QUAD
66,Vertex Form Quadratic,62|67|68,QUAD
67,Vertex of a Parabola,63|51|52,QUAD
68,Completing the Square,64|185|190,QUAD
69,Quadratic Formula,64|71,QUAD
70,Factoring Quadratics,62|188|189|190,QUAD
71,Discriminant,64,QUAD
72,Two Real Roots,71|75,QUAD
73,Equal Real Roots,71|75,QUAD
74,No Real Roots,71|75,QUAD
75,Nature of Roots,71,QUAD
76,Quadratic Inequalities,62|175|77,QUAD
77,Sign Diagram,54|175,QUAD
78,Solving Quadratic Equations,69|70|68,QUAD
79,Quadratic Applications,78|197,QUAD
80,Projectile Motion Model,79|66,QUAD
81,Revenue Optimization,79|51,QUAD
82,Inverse Function,2|86,INVC
83,Inverse Function Notation,82|7,INVC
84,Finding an Inverse,82|185,INVC
85,Reflection Over Y Equals X,82|18,INVC
86,One-to-One Function,2|87,INVC
87,Horizontal Line Test,18|11,INVC
88,Self-Inverse Function,82|94,INVC
89,Composite Function,2|7,INVC
90,Function Composition Rule,89,INVC
91,Order of Composition,89|90,INVC
92,Domain of Composite,89|3,INVC
93,Decomposing Functions,89|90,INVC
94,Reciprocal Function,2,RAT
95,Hyperbola,94|18,RAT
96,Vertical Asymptote,18|3,RAT
97,Horizontal Asymptote,18|130,RAT
98,Asymptotic Behavior,96|97,RAT
99,Rational Function,94|125,RAT
100,Rational Form Ax Plus B,99|96|97,RAT
101,Oblique Asymptote,99|134,RAT
102,Graphing Rational Functions,99|98|46,RAT
103,Holes in Rational Graphs,99|188,RAT
104,Domain Restrictions,3,RAT
105,Exponential Function,2|106,EXP
106,Base of an Exponential,,EXP
107,Exponential Growth,105|44,EXP
108,Exponential Decay,105|44,EXP
109,Natural Exponential,105|110,EXP
110,Euler's Number,106,EXP
111,Exponential Equations,105|185,EXP
112,Compound Interest Model,107|197,EXP
113,Population Growth Model,107|197,EXP
114,Half-Life Model,108|197,EXP
115,Logarithmic Function,105|121,LOG
116,Common Logarithm,115,LOG
117,Natural Logarithm,115|110,LOG
118,Logarithm Laws,115,LOG
119,Change of Base Rule,118|116|117,LOG
120,Solving Log Equations,118|111,LOG
121,Log-Exponential Inverse,105|82,LOG
122,Logarithmic Scale,115,LOG
123,Graphing Exponentials,105|18|46,EXP
124,Graphing Logarithms,115|18|46,LOG
125,Polynomial Function,62|126|127,POLY
126,Degree of a Polynomial,170,POLY
127,Leading Coefficient,170|126,POLY
128,Cubic Function,125,POLY
129,Quartic Function,125,POLY
130,End Behavior,125|127,POLY
131,Turning Points Count,125|126|50,POLY
132,Factor Theorem,125|54,POLY
133,Remainder Theorem,132|134,POLY
134,Polynomial Division,125|185,POLY
135,Synthetic Division,134,POLY
136,Root Finding,132|135,POLY
137,Sum of Roots Formula,125|136,POLY
138,Product of Roots Formula,125|136,POLY
139,Multiplicity of Roots,136|54,POLY
140,Graphing Polynomials,125|130|131|46,POLY
141,Even Function,2|18|143,CLASS
142,Odd Function,2|18|143,CLASS
143,Symmetry Testing,18|7,CLASS
144,Periodic Function,2|3,CLASS
145,Modulus Function,2,CLASS
146,Graph of Modulus,145|18,CLASS
147,Absolute Value Equations,145|174,CLASS
148,Y Equals Mod F of X,145|18|146,CLASS
149,Y Equals F of Mod X,145|18|146,CLASS
150,Y Equals F of X Squared,18|2,CLASS
151,Domain Restriction Inverse,82|3|86,INVC
152,Translation,18,TRANS
153,Horizontal Translation,152,TRANS
154,Vertical Translation,152,TRANS
155,Reflection in X-Axis,18|15,TRANS
156,Reflection in Y-Axis,18|14,TRANS
157,Vertical Stretch,18|159,TRANS
158,Horizontal Stretch,18|159,TRANS
159,Scale Factor,,TRANS
160,Composite Transformation,152|155|156|157|158,TRANS
161,Transformation Notation,7|152,TRANS
162,Effect on Coordinates,17|152,TRANS
163,Transformation of Points,162|17,TRANS
164,Graph Transformation Order,160,TRANS
165,Piecewise Function,2|3,CLASS
166,Step Function,165,CLASS
167,Signum Function,165,CLASS
168,Greatest Integer Function,165,CLASS
169,Parameter,171|172,ALG
170,Coefficient,,ALG
171,Variable,,ALG
172,Constant,,ALG
173,Expression,170|171|172,ALG
174,Equation,173,ALG
175,Inequality,174,ALG
176,Solution Set,174|175,ALG
177,Number Systems,,ALG
178,Integers,177|23,ALG
179,Rational Numbers,178,ALG
180,Irrational Numbers,179,ALG
181,Real Numbers,179|180|3,ALG
182,Substitution Method,174|171,ALG
183,Elimination Method,174,ALG
184,Graphical Solution Method,18|46,GRAPH
185,Algebraic Manipulation,173|186|187,ALG
186,Expanding Brackets,173,ALG
187,Collecting Like Terms,173,ALG
188,Common Factor,173,ALG
189,Difference of Squares,188,ALG
190,Perfect Square Trinomial,188,ALG
191,Sum and Difference Cubes,188,ALG
192,Function Behavior Analysis,58|59|193,CLASS
193,Concavity,50|18,GRAPH
194,Inflection Point,193,GRAPH
195,Continuity,24|3,FOUND
196,Boundedness,3|4,FOUND
197,Function Modeling,2|20,MODEL
198,Regression Model,197|46,MODEL
199,Curve Fitting,198,MODEL
200,Extrapolation,199|197,MODEL
201,Interpolation,199|197,MODEL
202,Mathematical Modeling Cycle,197,MODEL
203,Units and Dimensions,197,MODEL
204,Significant Figures,,MODEL
205,Exact vs Approximate,204|197,MODEL
206,GDC Usage,46,GRAPH
207,Technology in Mathematics,46,GRAPH
208,Analytic vs Graphic Method,46|185,GRAPH