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:

Answered: What are the horizontal asymptotes of…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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What are the horizontal asymptotes of the function in the figure?
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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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