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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