When you are done with this section, you will be able to do the following:

• Determine if a function has an inverse function (horizontal line test)

• Find the inverse of a function
  

• Graph a function and its inverse
  

• Restrict the domain to create a function with an inverse function
  

Horizontal Line Test On-line Notes:

• ASU First Year Math Inverse Functions lecture notes

Additonal Horizontal Line Test On-line Resources:

• Inverse Functions

• Miscellaneous On-Line Topics for Applied Calculus, Finite Mathematics & Applied Calculus:  Topic:  Inverse Functions

• Mathwords.com

• Skowhegan Area High School:  Horizontal Line Test

• Lesson 29, Composit and Inverse Functions

• Regents Math B:  Graphically Represent the Inverse
  

Inverse Functions On-line Notes:

• ASU First Year Math Inverse Functions lecture notes

• ASU First Year Math Graphical Inverses lecture notes
  

Additional Inverse Functions On-line Resources:

• Inverse Functions

• Purplemath - Your Algebra Resource:  Inverse Functions I

• SOS Math:  On Inverse Functions:  Introduction

• SOS Math:  Inverse Functions with no Domain Restrictions

• SOS Math:  Inverse Functions, Restricted Domains

• Experiment and Explore Mathematics:  Inverse Function

• Experiment and Explore Mathematics:  Tutorial:  Find Inverse Function (1)

• Inverse Functions

• Miscellaneous On-Line Topics for Applied Calculus, Finite Mathematics & Applied Calculus:  Topic:  Inverse Functions

• Experiment and Explore Mathematics:  Inverse Function Definition

• The Math Page:  Topics in Precalculus:  Inverse Functions

• Regents Math B:  Definition of Inverse Function

• Purplemath - Your Algebra Resource:  Inverse Functions II

• Purplemath - Your Algebra Resource:  Inverse Functions III

• Purplemath - Your Algebra Resource:  Inverse Functions VI

Inverse Functions Homework:

The Inverse Functions Homework contains 4 problems.
Things to remember:

• An inverse "undoes" the original function.  So if you have a graph of the original and need to fill in a table for the inverse, you should think of the x values in the table as y values on the graph.

• The graph of a function and the graph of its inverse are reflections over the line y = x.

• A good way to think about graphing the inverse from the graph of the function is to interchange the coordinates of each point (i.e.  change (x, y) from the function to (y, x) for the inverse function).

Homework examples:

• Example 1:  similar to problem 2
  

• Example 2:  similar to problem 3

Keep in mind that it is recommended that you also complete all the problems in the set called "also recommended" with the same number as the Inverse Functions Homework.  There are many different ways to ask the same questions.  This will allow you to see additional problems that are related to this topic.