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Recall your answer to problem 2-27.

The vertical line test: f is a function if each x-value has exactly one out y-value.
The horizontal line test: The inverse of f is a function if each y-value has exactly one x-value.

Consider common even and odd functions:
common even functions: x2, x4, x6, |x|, cosx
common odd functions: x, x3, x5, sinx

Use the eTool below to explore.
Click on the link to the right to view the full version of the eTool. Draw Inverse eTool