horizontial

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.6: More On Graphing Rational Functions
Problem 28PS
icon
Related questions
Question

Calculate the horizontial and vertical asymptotes of the following:

y=3x^2-5/2x^2-4

Expert Solution
Concept

To find horizontal asymptotes:

 

If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

If the degrees of the numerator and denominator are the same, the horizontal asymptote equals the leading coefficient (the coefficient of the largest exponent) of the numerator divided by the leading coefficient of the denominator.

How to find Vertical Asymptotes:-

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Asymptote
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning