# How do you graph #f(x)=8/(x(x+2))# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

**holes**: a value that causes both the numerator and denominator to equal zero. there are **no holes in this rational function**.

**vertical asymptotes**: it's a line

**vertical asymptotes**:

**horizontal asymptotes**:

the following are the rules for solving horizontal asymptotes:

let m be the degree of the numerator

let n be the degree of the denominator

if m > n, then there is no horizontal asymptote

if m = n, then the horizontal asymptote is dividing the coefficients of the numerator and denominator

if m < n, then the horizontal asymptote is

As we can see in our rational function, the denominator has a larger degree of

**x-ints**: x-intercepts are the top of the rational function. Since the numerator just says **no x-ints**.

**y-ints**: y-intercepts are when you plug in

**undefined**, so there are **no y-ints**.

Hope this helps!