In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection.

This lesson is appropriate for both AP Calculus AB and BC.

Detailed answer keys are included.

The topics covered include:

-Features of a Function

-Rational Function

-Trigonometric Function

-Exponential Functions

In this product, you will find the following:

-Powerpoint Presentation (36 slides)

-Guided Notes (4 pages, a "filled in" copy is also included)

-Do Now Slips (4 slips on one page, answers included)

-Exit Ticket Slips (4 slips on one page, answers included)

-Homework Assignment (2 pages, a detailed answer key is included)

This lesson is part of a larger unit on Applications of Derivatives. The complete unit includes the following:

-Linear Approximation and Differentials

-Related Rates

-Maximum and Minimum Values

-The Mean Value Theorem

-The First and Second Derivative Tests

-L'Hospital's Rule

-Curve Sketching

-Optimization Problems

-Motion Problems

-Antiderivatives