# How do you graph #f(x)=(2x-3)/(x^2+x-6)# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

Below

#### Explanation:

For vertical asymptotes,

For horizontal asymptotes,

Think of it this way:

When you sub random numbers into

For intercepts,

When

When

Plotting your intercepts and drawing in your asymptotes, you should get something like below. Remember, your asymptotes only affect/influence the endpoints of your graph and not anywhere else on your graph

graph{(2x-3)/(x^2+x-6) [-10, 10, -5, 5]}