# Power function

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In mathematics, a power function is a function of the form :${\displaystyle f\colon x\mapsto cx^{r}\;c,r\in \mathbb {R} }$ where ${\displaystyle c}$ and ${\displaystyle r}$ are constant real numbers and ${\displaystyle x}$ is a variable. The domain of a power function can sometimes be all real numbers, but generally a non-negativity ${\displaystyle x\geq 0}$ is used to avoid problems with simplifying. The domain of definition is determined by each individual case.