# Power Function

## Power Function

A function defined by a relation of the form f(x) = $${x}^{2}$$, where n is a real number.

### Examples

Consider the power function defined by f(x) = $${x}^{n}$$.

• If n > 0, the function is a polynomial function :  f(x) = $${x}^{2}$$.

• If n < 0, the function is a rational function :  f(x) =$${x}^{-2}$$ = $$\frac{1}{{x}^{2}}$$.