# How do you graph #y=3/(x^3-27)# using asymptotes, intercepts, end behavior?

##### 1 Answer

#### Answer:

Read below.

#### Explanation:

We first try to find the intercepts.

To find the

To find the

To figure out its end behavior, we have to figure out the following:

What is

What is

What is

Let's use logic here.

As

Now, as the denominator get larger and larger, the fraction gets closer and closer to 0.

What is

As

Now, as the denominator gets smaller and smaller, the fraction gets closer and closer to 0. (Remember that the denominator never really reaches 0.)