### Home > APCALC > Chapter 2 > Lesson 2.1.3 > Problem 2-38

2-38.

Is the inverse of an odd function also a function? If the inverse is a function, is it also an odd function? How do you know? Include a statement to support your answer and sketch a graph of an example. Investigate this using the

Recall your answer to problem 2-27.

The vertical line test: is a function if each

*-value has exactly one out*

*-value.*

The horizontal line test: The inverse of

*is a function if each*

*-value has exactly one*

*-value.*

Consider common even and odd functions:

common even functions:

common odd functions:

Use the eTool below to explore.

Click on the link to the right to view the full version of the eTool. *Draw Inverse eTool*