College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding - Page 211: 47

Answer

$\begin{array}{ll} a. & 4\\ b. & 5\\ c. & 5\\ d. & |x|+4\\ e. & -|x|-4\\ f. & |x+1|+4\\ g. & 2|x|+4\\ h. & |x+h|+4 \end{array}$

Work Step by Step

$f(x)=|x|+4$ $\begin{array}{lll} (a)\ f(0) & (b)\ f(1) & (c)\ f(-1)\quad \\ =|0|+4 & =|1|+4 & =|-1|+4\\ =4 & =5 & =5\\ & & \end{array}$ $\begin{array}{ll} (d)\ f(-x) & (e)\ -f(x)\\ =|-x|+4 & =-(|x|+4)\\ =|x|+4\quad & =-|x|-4\\ & \end{array}$ $\begin{array}{ll} (f)\ f(x+1) & (g)\ f(2x)\\ =|x+1|+4 & =|2x|+4\\ & =2|x|+4\\ & \\ & \end{array}$ $(h)\ f(x+h)=|x+h|+4$
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