## Intermediate Algebra (12th Edition)

$\text{a) } x=2 \\\text{b) } x=0 \\\text{c) } x=-1$
$\bf{\text{Solution Outline:}}$ 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}