# How do you describe the end behavior for f(x)=x^4-x^2-2?

Jan 13, 2018

${\lim}_{x \to - \infty} f \left(x\right) = \infty$ and ${\lim}_{x \to \infty} f \left(x\right) = \infty$.

#### Explanation:

If you haven't done limits yet you would note that this is an even degree polynomial (4th degree) and as x tends toward absolutely large values, either positive or negative, the value of the function grows without bounds.

Some people refer to this as "high to high."

If you've done limits you could say:

${\lim}_{x \to - \infty} f \left(x\right) = \infty$ and ${\lim}_{x \to \infty} f \left(x\right) = \infty$.