# How do you find the end behavior of f(x) = -2(x-1)(x+3)^3?

Aug 2, 2018

$\text{see explanation}$

#### Explanation:

$\text{To determine the end behaviour we only require to}$
$\text{consider the term of highest degree, that is the leading}$
$\text{term in standard form}$

$\text{multiply the terms of highest degree from each factor}$

$- 2 \left(x\right) \left({x}^{3}\right) = - 2 {x}^{4}$

$\text{the leading term of highest degree is } - 2 {x}^{4}$
$\text{which is of even degree with negative coefficient}$

•color(white)(x)lim_(xto+-oo)=-oo
graph{-2(x-1)(x+3)^3 [-80, 80, -40, 40]}