Question

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

Answer 1

See the explanation below.

Explanation:

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

You can see that as `x -> oo, f(x)->oo`.
As `x->-oo, f(x)->-oo`.

You can also write this in limit notation:

`lim_(x->oo) f(x) = oo`

`lim_(x->-oo) f(x) = -oo`