Graphs of Functions

Sketching graphs of functions and their derivatives.

Mapped to AP College Board # FUN-4, FUN-4.A, FUN-4.A.9, FUN-4.A.10

A function’s derivative can be used to understand some behaviors of the function. Justify conclusions about the behavior of a function based on the behavior of its derivatives. Key features of functions and their derivatives can be identified and related to their graphical, numerical, and analytical representations. Graphical, numerical, and analytical information from f’ and f” can be used to predict and explain the behavior of f.