Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.5 - Transformations of Functions - 2.5 Exercises - Page 211: 31


a) $f(x)=[[x]]$ b) Vertical stretch, vertical shift c) See graph d) $g(x)=2f(x)-1$

Work Step by Step

We are given the function: $g(x)=2[[x]]-1$ a) The parent function is: $f(x)=[[x]]$ b) Vertically stretch $f(x)$ by a factor of $2$ to get $a(x)=2[[x]]$. Vertically shift $a(x)$ one unit downward to get $g(x)=2[[x]]-1$ c) Graph the function $g$. d) Use function notation to write $g$ in terms of $f$: $g(x)=2f(x)-1$
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