# What is the end behavior of #f(x) = x^3 + 4x#?

##### 2 Answers

**End behavior : Down** ( As

**Up ( As** **)**

#### Explanation:

and far right portions. Using degree of polynomial and leading

coefficient we can determine the end behaviors. Here degree of

polynomial is

For odd degree and positive leading coefficient the graph goes

down as we go left in

right in

End behavior : Down ( As

Up ( As

graph{x^3 + 4 x [-20, 20, -10, 10]} [Ans]

#### Explanation:

To think about end behavior, let's think about what our function approaches as

To do this, let's take some limits:

To think about why this makes sense, as

What does our function approach as

Once again, as

Hope this helps!