# How do you graph #y=x^3/(x^2+7)# using asymptotes, intercepts, end behavior?

##### 1 Answer

Nov 20, 2016

See explanation below

#### Explanation:

The domain of y is

The denominator is

As the degree of the numerator is

Let's do a long division

So,

Therefore,

For the limits, we take the terms of highest degree in the numerator and the denominator

For the intercepts, when

graph{(y-x^3/(x^2+7))(y-x)=0 [-7.9, 7.904, -3.956, 3.946]}