Odd positive power function

Definition

An odd positive power function is a function of the form:

$x\mapsto x^{n}$

where $n$ is an odd positive integer, i.e., $n=2k+1$ where $k$ is a nonnegative integer.

Particular cases

$k$	$n=2k+1$	$x\mapsto x^{n}$
0	1	identity function (this behaves anomalously, i.e., different from the other odd positive power functions)
1	3	cube function
2	5	fifth power function
3	7	seventh power function