Algebra and Trigonometry 10th Edition

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

Chapter 2 - 2.4 - A Library of Parent Functions - 2.4 Exercises - Page 203: 30

Answer

a) -22; b) -85; c) 6; d) -29

Work Step by Step

We are given the function: $g(x)=-7[[x+4]]+6$, where $[[x]]$ denotes the greatest integer less than or equal to $x$. a) $g\left(\dfrac{1}{8}\right)=-7\left[\left[\dfrac{1}{8}+4\right]\right]+6=-7\left[\left[4\dfrac{1}{8}\right]\right]+6=-7(4)+6=-22$ b) $g(9)=-7[[9+4]]+6=-7[[13]]+6=-7(13)+6=-85$ c) $g(-4)=-7[[-4+4]]+6=-7[[0]]+6=-7(0)+6=6$ d) $g\left(\dfrac{3}{2}\right)=-7\left[\left[\dfrac{3}{2}+4\right]\right]+6=-7\left[\left[5\dfrac{1}{2}\right]\right]+6=-7(5)+6=-29$
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