# How do you graph #f(x)=3/(x^2(x+5))# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

Below

#### Explanation:

For vertical asymptotes, look at the denominator.

For the horizontal asymptote, look at the degree of the numerator and denominator

If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is

Or you can think of it as if you put some numbers into your

For your x and y intercepts,

sub

sub

Therefore, there are no intercepts

Below is the graph. You can see that the endpoints of the graphs approaches the asymptotes

graph{3/(x^2(x+5) [-10, 10, -5, 5]}