What are the horizontal asymptotes of the function in the figure?-5-4-32-30-40-30-20-101020304050Define the equation of the upper asymptote of the function.(Use symbolic notation or fractions where needed.)Upper asymptote equation:Define the equation of the lower asymptote of the function.(Use symbolic notation or fractions where needed.)Lower asymptote equation:

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College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 72E: Slant Asymptotes Find the slant asymptote and thevertical asymptotes, and sketch a graph of the...

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What are the horizontal asymptotes of the function in the figure?
-5
-4
-3
2
-30
-40
-30
-20
-10
10
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30
40
50
Define the equation of the upper asymptote of the function.
(Use symbolic notation or fractions where needed.)
Upper asymptote equation:
Define the equation of the lower asymptote of the function.
(Use symbolic notation or fractions where needed.)
Lower asymptote equation:

Expert Solution

Step 1

When the degree of the numerator is less than the degree of the denominator then there is a horizontal asymptote at y=0.

When the degree in the numerator is equal to the degree in the denomination then horizontal asymptotes will be equal to the division of coefficient from the numerator to the denominator

But this is not the case here, from the graph directly it can be said when x approaches to + $\infty$ are upper asymptote and x approaches to - $\infty$ are lower asymptote.

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