Homework Help is Here – Start Your Trial Now!
Math
Calculus
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: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
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.

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS