How do you graph #y=(x+2)/(x-3)# using asymptotes, intercepts, end behavior?
here is the graph:
There are no common factors between the numerator and denominator so the vertical asymptote is 3.
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):
The x intercept is the zero of the numerator, so
To find the y intercept, set
Join the points smoothly.