Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Review - Exercises - Page 70: 14


Refer to the blue graph below.

Work Step by Step

The parent function of $y=\ln{(x+1)}$ is $y=\ln{x}$. Note that in $y=\ln{x}$, when $x$ is replaced by $x+1$, the function becomes $y=\ln{(x+1)}$ This means that with $y=f(x)=\ln{x}$ as the parent function, the given function is equivalent to $y=f(x+1)$ RECALL: The graph of $y=f(x+c)$ involves a horizontal shift of $c$ units to the left of the parent function $y=f(x)$. Thus, to graph the given function, perform the following steps: (1) Graph the parent function $y=\ln{x}$. Refer to the black graph below. (2) Shift the graph of $y=\ln{x}$ one unit to the left to to obain the graph of $y=\ln{(x+1)}$. Refer to the blue graph below.
Small 1550738007
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.