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 353: 91

Answer

(a) See the image below. (b) Those graphs are all transformations of $\log(x)$

Work Step by Step

We have a parent function: $f(x) = \log(cx)$. To draw graphs of the family for $c=1, 2, 3, 4$ we will simply input these values and using Graphical Calculator graph them. (a) $f(x) = \log(x)$ (Black graph in the image) $f(x) = \log(2x)$ (Blue graph in the image) $f(x) = \log(3x)$ (Green graph in the image) $f(x) = \log(4x)$ (Red graph in the image) (b) $c$ value in this case means to shrink the parent function graph horizontally by a factor of $c$
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