Section 3.1: Definition of Function (page 213)

Function: Definition and Notation

                                

 

 

Function Notation

 

                              

 

Sample Exercises

You should study the examples in the following Power Point presentation before proceeding
Introduction to Functions

Section 3.2: Graphs of Functions

Function: Graph

Sample Exercises

Sample Exercises

You should study the examples of several different types of functions as presented in the following Special Topic article.
Functions - Introductory Examples

Section 3.2a:  A Basic Library of Functions and their Graphs

Function: Basic Library

Section 3.3: Increasing and Decreasing Functions

Function: Increasing, Decreasing, Even, and Odd

Section 3.4: Transformation of Functions

Function: Transformations

 

Section 3.5: Quadratic Functions

Function: Quadratic

Sample Exercises
Sample Exercises
Sample Exercises

Section 3.6: Combining Functions

Function: Combining

The following picture is essential to understanding composition of functions.

                               

Sample Exercises

Section 3.7: Inverses of Functions

Function: Inverses

The following diagram illustrates the relationship between a function and it inverse.
Think of the red arrows as the rule for a function f and the blue arrows as the rule for its inverse f^-1

 

Sample Exercises