College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 452: 52

Answer

please see image below (f(x)=red curve, g(x)=blue curve), asymptote of $f:\quad\quad y=0$ asymptote of $g:\quad\quad y=$2
1507563796

Work Step by Step

Graph $ f(x)=(\displaystyle \frac{1}{2})^{x}\qquad$ (red) by plotting the points from the table and connecting with a smooth curve. $g(x)=(\displaystyle \frac{1}{2})^{x-1}+2=f(x-1)+2$ so the graph of $g(x)$ (blue) is obtained by shifting the graph of f(x) right by 1 unit, $f(x-1)$ (green dashed). then, shifting up by 2 units, $f(x-1)+2$, (blue) . Reading the graph, asymptote of $f:\quad\quad y=0$ (yellow, dashed) asymptote of $g:\quad\quad y=$2 (black, dashed
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.