CPM Homework Help : APCALC Problem 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

Hint 1:

Recall your answer to problem 2-27.

Hint 2:

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.

Hint 3:

Consider common even and odd functions:
common even functions: $x^2,x^4,x^6,|x|,\cos x$
common odd functions: $x, x^3, x^5, \sin{x}$

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