How do you identify the asymptotes of a rational function? If there is a remainder when dividing the numerator by the denominator, the graph has vertical
asymptotes for every value of the variable that makes the denominator = ( infinity, 0, -infinity, or 1 ). It has a
horizontal asymptote if the degree of the numerator is (less than or greater than )
or (greater than or equal to)
the
degree of the denominator.