Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 2 - Section 2.6 - Function Notation and Linear Functions - 2.6 Exercises: 45

Answer

$\text{a) } x=2 \\\text{b) } x=0 \\\text{c) } x=-1$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the graph to find the value of $x$ for each corresponding value of $f(x).$ $\bf{\text{Solution Details:}}$ a) The expression $f(x)=3$ corresponds to the value of $x$ when $y=f(x)$ is $3.$ Based on the graph, when $y=3,$ the value of $x$ is $ x=2 .$ b) The expression $f(x)= -1 $ corresponds to the value of $x$ when $y=f(x)$ is $ -1 .$ Based on the graph, when $y= -1 ,$ the value of $x$ is $ x=0 .$ c) The expression $f(x)= -3 $ corresponds to the value of $x$ when $y=f(x)$ is $ -3 .$ Based on the graph, when $y= -3 ,$ the value of $x$ is $ x=-1 .$ Therefore, \begin{array}{l}\require{cancel} \text{a) } x=2 \\\text{b) } x=0 \\\text{c) } x=-1 .\end{array}
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