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 4.2: 49

Answer

h(x)

Work Step by Step

(See table 4.5, Transformations involving Logarithmic functions) The parent function is $f_{1}(x)=\log_{3}x$, graphed with a dashed black line (see below). To obtain the given graph, we 1. shift it down by 1 unit (red dotted) (The point (1,$-1)$ is the point (1,0) shifted down) So the given graph is the graph of $f_{1}(x)-1=\log_{3}x-1=h(x)$
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