How do you determine the horizontal asymptotes of a rational function based on its degree?

Answer 1

Amanda Robinson

To determine the horizontal asymptotes of a rational function, compare the degrees of the numerator (N) and the denominator (D). If N < D, the asymptote is y = 0. If N = D, the asymptote is y = leading coefficient of N / leading coefficient of D. If N > D, there is no horizontal asymptote.