A function defined by a relation of the form f(x) = [latex]{x}^{2}[/latex], where n is a real number.
Examples
Consider the power function defined by
f(
x) = [latex]{x}^{n}[/latex].
- If n > 0, the function is a polynomial function : f(x) = [latex]{x}^{2}[/latex].
- If n < 0, the function is a rational function : f(x) =[latex]{x}^{-2}[/latex] = [latex]\frac{1}{{x}^{2}}[/latex].