# How do you find the domain and range of f(x)=(x^3)-3x^2?

Sep 3, 2017

Domain: $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$
Range: $f \left(x\right) \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

#### Explanation:

$f \left(x\right) = {x}^{3} - 3 {x}^{2}$

Domain: Any real value of $x$ as input i.e $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

Range: Any real value of $f \left(x\right)$ as output i.e

$f \left(x\right) \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

graph{x^3-3x^2 [-12.66, 12.65, -6.33, 6.33]} [Ans]