Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 83

Answer

1. graph $f(x)=e^{x},$ 2. reflect it across the line $y=x$ (to obtain $y=\ln x$), and 3. raise the graph of $\ln x$ by 1 unit.

Work Step by Step

The graph of g(x) is obtained from $y=\ln x$ by raising it up by one unit. The graph of $y=\ln x$ is the reflected graph of $y=e^{x} , $ over the line $y=x,$ because $\ln x$ is the inverse of $e^{x}.$ So, we 1. graph $f(x)=e^{x},$ 2. reflect it across the line $y=x$ (to obtain $y=\ln x$), and 3. raise the graph of $\ln x$ by 1 unit.
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