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.