IA2.AT.C: Reason about functions.

Reason about functions.

IA2.AT.C.8Calculate or estimate and interpret the average rate of change over a specified interval for exponential, quadratic, and radical functions presented graphically, symbolically or as a table.IA2.AT.C.9Compare properties of two quadratic functions each represented in a different way (algebraically, graphically, numerically in tables, or by narrative descriptions), to analyze differences and similarities between the relationships the functions model.IA2.AT.C.10Analyze and compare the behavior of functions across different families. a. Compare linear, quadratic, exponential, polynomial (degree of 3 or higher), and radical functions by analyzing differences in their patterns of change and key characteristics (e.g., symmetry, end behavior). Explain how these differences affect the modeling of various contexts. b. Analyze how the number and type of solutions to equations vary across function families and explain how those solutions are represented and interpreted in graphs and equations.

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