# How many horizontal asymptotes can the graph of #y=f(x)# have?

##### 1 Answer

Sep 21, 2014

The answer is 0, 1, or 2.

You have to check the end behavior at

If the growth rate of the numerator is faster than that of the denominator, you won't have a horizontal asymptote. For example,

If the growth rate of the denominator is faster than that of the numerator, then the horizontal asymptote is

If the growth rate of the numerator and denominator differ by a constant,