Power functions

Introduction: Not every power function is integer.

Definition: A function of the form
$$y(x)=x^{\frac{m}{n}},$$
with $m$ and $n$ integer ($n \neq 0$), is called a power function.

Remark: If $\frac{m}{n}$ is not integer, then the domain is restricted to $x\geq 0$.

Example: $y(x)=x^{-\frac{5}{6}}=\dfrac{1}{\sqrt[6]{x^5}}$ is an example of a power function.