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: 58

Answer

Graph II

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 = 1 and when x = 3. When x = 1, $f(1) = \ln{(1-2)} = \ln{(-1)}; \text{ this is undefined as $x$ cannot be negative}$ When x = 3, $f(3) = \ln{(3-2)} = \ln{1} = 0$ The point is $(3, 0)$. Graph II contains the point $(3, 0)$ but Graph I does not contain $(3, 0)$. Therefore, the graph of the given function must be Graph II.
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