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

##### 1 Answer

Below

#### Explanation:

For horizontal asymptotes, imagine what the graph will look like when

For vertical asymptotes, look at the denominator. It cannot equal to

For intercepts,

When

When

Now for the vertical and horizontal asymptotes, remember it only affects the endpoints of the graph. SO for the endpoints, it should be approaching the asymptotes either from above or below but it should never actually touch the graph. Anywhere else on the graph, it can definitely pass through the asymptotes.

Below is the graph

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