How do you identify the vertical and horizontal asymptotes for rational functions?

bolton8l

bolton8l

Answered question

2022-09-03

How do you identify the vertical and horizontal asymptotes for rational functions?

Answer & Explanation

Johnny Parrish

Johnny Parrish

Beginner2022-09-04Added 12 answers

How to Find Horizontal Asymptotes of Rational Functions

Let f ( x ) = p ( x ) q ( x ) , where p(x) is a polynomial of degree m with leading coefficient a, and q(x) is a polynomial of degree n with leading coefficient b. There are three cases:

Case 1: If m>n, then f has no horizontal asymptotes.
Case 2: If m=n, then y = a b is the horizontal asymptote of f.
Case 3: If m
How to Find Vertical Asymptotes of Rational Functions

If there are any common factors between the numerator and the denominator, then cancel all common factors. Set the denominator equal to zero then solve for x.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?