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

##### 1 Answer

here is the graph:

#### Explanation:

To graph

There are no common factors between the numerator and denominator so the vertical asymptote is 3.

Horizontal Asymptote:

when the numerator and denominator equal the same, you divide the leading coefficients to get the horizontal asymptote.

There is no slant asymptote.

Find behaviour near V.A (generally =+/-0.1 away):

at

at

so

The x intercept is the zero of the numerator, so

To find the y intercept, set

Join the points smoothly.