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

2-38.

Is the inverse of an odd function also a function? Is the inverse also odd? How do you know? Include a statement to support your answer and sketch a graph of an example. Investigate this using the Draw Inverse eTool (Desmos).

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*

*x*-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