# How do you determine the end behavior of f(x)=1-x^6?

Nov 9, 2017

See below.

#### Explanation:

For end behaviour of a polynomial, we only have to look at the degree and leading coefficient. In this case it is:

$- {x}^{6}$

${\lim}_{x \to \infty} \left(- {x}^{6}\right) = - \infty$

${\lim}_{x \to - \infty} \left(- {x}^{6}\right) = - \infty$

Graph: graph{1-x^6 [-6.24, 6.244, -3.12, 3.12]}