Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.1 Graphing and Functions - Exercise Set 7.1: 42

Answer

(a) $h(5)=46$ (b) $h(-1)=-2$

Work Step by Step

RECALL: $h(r)$ represents the value of the function $h$ when $r=x$. Replace $r$ with the given value to obtain: (a) $h(5) = 2(5^2) -4 \\h(5)= 2(25)-4 \\h(5)=50-4 \\h(5)=46$ (b) $h(-1) = 2(-1)^2-4 \\h(-1)=2(1)-4 \\h(-1)=2-4 \\h(-1)=-2$
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