MTH04 (Online)

Inverse Functions (Section 11.2) Practice Problems

 

Created by: Joe Joyner

 

  1. If , find .

 

  1. Determine whether the inverse of is also a function. Explain how you arrived at your conclusion.

 

  1. Which of the following is the graph of the inverse of ?

 

A. B.

 

 

 

C. D.

 

 

 

  1. Graph the inverse of the function .

 

 

 

  1. If , find .

 

A. 122 B. -116 C. 2 D. 0.008

 

  1. If , find .

 

 

  1. Given that and its inverse ,

 

a.          find the point P where the line segment between and crosses the graph of .

b.         find the distance from to P and the distance from to P.

c.          find the slope of the line segment between and .

d.         Do your results support the relationships that must be true for the graph of a function and its inverse?

 

 

Answer Key

 

 

1.     

 

2.      No, the inverse of is not a function because the graph of does not pass the horizontal line test.

 

(Alternative answer): No, the inverse of is not a function because is not one-to one on its domain.

 

3.      B

 

4.      Graph of :

 

 

 

 

Graph of :

 

 

 

Graph of , and :

 

5.      C

 

6.     

 

7.       

a.

 

b. ,

 

c. m = -1

 

d. (various answers)