College Algebra (6th Edition)

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

Chapter 4 - Summary, Review, and Test - Review Exercises - Page 510: 5


please see graph and details in the "work step by step" section

Work Step by Step

$g(x)=2^{x-1}=f(x-1)$, so the graph of g(x) (blue) is obtained by shifting the graph of f(x) (red) by 1 unit to the right. Reading the graph, asymptote of $ f:\quad y=0$ asymptote of $g:$:$\quad\quad y=0$ domain of $f= (-\infty,\infty)$ range of $f= (0,\infty)$ domain of $g=(-\infty,\infty)$ range of $g=(0,\infty)$
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