# How do you find the end behavior of -x^3+3x^2+x-3?

Aug 5, 2017

${\lim}_{x \to + \infty} \to - \infty$
${\lim}_{x \to - \infty} \to + \infty$

#### Explanation:

$\text{consider the term of highest degree}$

$- {x}^{3} \text{ is of odd degree and has a negative coefficient}$

$\Rightarrow {\lim}_{x \to + \infty} f \left(x\right) \to - \infty$

$\Rightarrow {\lim}_{x \to - \infty} f \left(x\right) \to + \infty$
graph{-x^3+3x^2+x-3 [-10, 10, -5, 5]}