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

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

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

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

$\displaystyle 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)$.

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Department of Mathematics
Last modified: 2005-09-29