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2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes, at x = 1 and x = -1. Your function should be continuous for all x ‡ 1, −1. (There are many possible correct answers.)

2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes, at x = 1 and x = -1. Your function should be continuous for all x ‡ 1, −1. (There are many possible correct answers.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 41E
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2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes, at x = 1 and x = = -1. Your function should be continuous for all x ‡ 1, −1. (There are many possible correct answers.)
Transcribed Image Text:2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes, at x = 1 and x = = -1. Your function should be continuous for all x ‡ 1, −1. (There are many possible correct answers.)
Expert Solution
Step 1

INTRODUCTION

An asymptote is a line that a function approaches but never reaches as it tends toward infinity. Asymptotes are important in analyzing the behavior of a function, or as a graphical representation of a function. 

 

Given details:  A function has a horizontal asymptote at y=2 and two vertical asymptotes, at x=1 and x=-1. Also, the function should be continuous for all x≠1,-1.

To determine:   We have to draw the graph of the function with all the above conditions.

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