# How do you describe the end behavior of #y=8-x^3-2x^4#?

##### 2 Answers

See explanation.

#### Explanation:

To describe end behavior of a function you need to calculate the limits:

#lim_{x->-oo}f(x)#

and

#lim_{x->+oo}f(x)#

Here you get:

If

as

as

#### Explanation:

To determine the "end behavior" we need only consider the highest degree term because as

since the coefficient is negative the function's end behavior is decreasing, so we have determined:

as

as

graph{-2x^4-x^3+8 [-10.545, 9.455, -1.4, 8.6]}