To find vertical asymptotes, you must find the zeros of the denominator

Ex.

To find horizontal asymptotes, compare the degree of the numerator and the degree of the denominator of the rational function:

1. If the degree is the numerator < degree of the denominator, then the horizontal asymptote is 0

Ex.

horizontal asymptote = 0

2. If the degree is the numerator = degree of the denominator, then the horizontal asymptote is:

ex.

horizontal asymptote =

3. If the degree is the numerator > degree of the denominator, then there is no horizontal asymptote

ex.

There is no horizontal asymptote