Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 352: 57

Answer

Graph I

Work Step by Step

The first graph contains the point $(1, 2)$ while the second graph contains $(3, 0)$. To know which graph represents the given function, evaluate $f(x)$ when x = 3 and when x = 1. When x = 3, $f(3) = 2 + \ln{3} \approx 3.10$ When x = 1, $f(1) = 2+\ln{1} = 2 + 0 = 2$ Graph I contains a the point $(1, 2)$ but Graph II does not contain $(1, 2)$. Therefore, the graph of the given function must be Graph I.
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