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: 44

Answer

(a) $f(2)=18$ (b) $f(-1)=-3$

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) $f(2) = 3(2^2)+4(2)-2 \\f(2)= 3(4)+8-2 \\f(2)=12+8-2 \\f(2)=20-2 \\f(2)=18$ (b) $f(-1) = 3(-1)^2+4(-1)-2 \\f(-1)=3(1)+(-4)-2 \\f(-1)=3-4-2 \\f(-1)=-1-2 \\f(-1)=-3$
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