Rational Expressions: Asymptotes and Holes
View the Lesson | MATHguide homepage Updated October 10th, 2018


Status: Waiting for your responses.

Determine the asymptotes and possible hole for this rational function.

f(x) =   4
x2 - 5x - 36

Choose the correct type of solution set.

Type 1

1 horizontal asymptote
1 vertical asymptote
0 holes

Type 2

1 horizontal asymptote
1 vertical asymptote
1 hole

Type 3

1 horizontal asymptote
2 vertical asymptotes
0 holes

Record your responses for asymptotes and the hole, if applicable.

The horizontal asymptote is at y =
The first (or only) vertical asymptote is at x =
The second vertical asymptote is at x =
The hole is at x =