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: 43

Answer

(a) $f(3)=26$ (b) $f(-4)=19$

Work Step by Step

RECALL: $f(a)$ represents the value of the function $f$ when $x=a$. Replace $x$ with the given value to obtain: (a) $f(3) = 2(3^2)+3(3)-1 \\f(3)= 2(9)+9-1 \\f(3)=18+9-1 \\f(3)=26$ (b) $f(-4) = 2(-4)^2+3(-4)-1 \\f(-4)=2(16)+(-12)-1 \\f(-4)=32-12-1 \\f(-4)=20-1 \\f(-4)=19$
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