Textbook ExpertVerified Tutor
2 Nov 2021
Given information
A function f that satisfies all of the following conditions :
f is continuous from the right at 3.
Step-by-step explanation
Step 1.
Consider the limit,
This means that the values of the function approach to -2 for large negative values of x.
Thus, the required function has horizontal asymptote y=-2.
Take the second condition,
That is the values of the function approach to 0 for large positive values of x.
Thus, the required function has horizontal asymptote y=0.
Take the limit,
This means that the values of the function are large positive numbers as x takes the values near to -3 from right and left.
Thus, the required function has vertical asymptote x=-3.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
- Problem 1c
- Problem 2
- Problem 03
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 9a
- Problem 10
- Problem 11
- Problem 12
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 19
- Problem 21
- Problem 22
- Problem 23b
- Problem 23c
- Problem 24a
- Problem 24b
- Problem 25
- Problem 26
- Problem 27a
- Problem 27b
- Problem 28a
- Problem 29
- Problem 30a
- Problem 30b
- Problem 30c
- Problem 31a
- Problem 31b
- Problem 31c
- Problem 32
- Problem 33a
- Problem 33b
- Problem 33c
- Problem 34
- Problem 35
- Problem 36
- Problem 37a
- Problem 37b
- Problem 37c
- Problem 38a
- Problem 38b
- Problem 38c
- Problem 38d
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43a
- Problem 43b
- Problem 43b
- Problem 43c
- Problem 43d
- Problem 44a
- Problem 44b
- Problem 45
- Problem 46a
- Problem 46b
- Problem 46c
- Problem 47a
- Problem 47b
- Problem 47c
- Problem 48