Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Review Exercises - Page 512: 32

Answer

This is the graph of $ g(x)=\log(-x)$

Work Step by Step

We first find the graph of $ f(x)=\log x $ among the graphs 32 - 35. $ f(x)=\log x $ has a graph that is - defined for positive x only (only graph 35) - rises from left to right (only graph 35) - passes through (1,0) (graphs 34 and 35) - passes through (10,1) (only graph 35 can do this) Conclusion: graph 35 is the graph of $ f(x)=\log x $. Graph 32 (this graph) is obtained from the graph of $ f(x)=\log x $ by reflecting it about the y-axis. This is the graph of $ f(-x)=\log(-x)=g(x)$
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