### Home > APCALC > Chapter 2 > Lesson 2.1.3 > Problem2-38

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

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