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). Homework Help ✎
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