Cube root function

Even and odd function. A function $f$ is said to be even if it satisfies $f(-x) = f(x)$. For example, $f(x) = x^2$ is even. A function $f$ is said to be odd if it satisfies $f(-x) = -f(x)$.

Cube root function. A function $f$ is called a cubing function if

$$f(x) = x^3.$$

The cubing function is an odd function, symmetric with respect to the origin.

A function $f$ is called a cube root function if

$$f(x) = \sqrt[3]{x}.$$

The cube root function is an odd function. The implied domain of $f$ consists of the entire real numbers, that is, $D = (-\infty, \infty)$.