Negative integer power functions | Wiskunde op Tilburg University

Introduction: A function of the form

$y(x)=x^k$ , with

$k$ a non-negative integer is called a Positive integer power function.

Definition: A function of the form

$x^{-k}=\frac{1}{x^k},$
with

$k$ a positive integer, is a negative integer power function.

Example:

$f(x)=x^{-5}=\dfrac{1}{x^5}$ is an example of a negative integer power function.