# What is the end behavior of f(x)=x^5+2x^2?

Jul 4, 2017

See the explanation below.

#### Explanation:

First, graph the function.
graph{x^5 + 2x^2 [-10, 10, -5, 5]}

You can see that as $x \to \infty , f \left(x\right) \to \infty$.
As $x \to - \infty , f \left(x\right) \to - \infty$.

You can also write this in limit notation:

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

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