Answer
$\text{a) }
x=3
\\\text{b) }
x=0
\\\text{c) }
x=1$
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 $f(x)=
4$ corresponds to the value of $x$ when $y=f(x)$ is $
4
.$ Based on the graph, when $y=
4
,$ the value of $x$ is $
x=3
.$
b) The expression $f(x)=
-2
$ corresponds to the value of $x$ when $y=f(x)$ is $
-2
.$ Based on the graph, when $y=
-2
,$ the value of $x$ is $
x=0
.$
c) The expression $f(x)=
0
$ corresponds to the value of $x$ when $y=f(x)$ is $
0
.$ Based on the graph, when $y=
0
,$ the value of $x$ is $
x=1
.$
Therefore,
\begin{array}{l}\require{cancel}
\text{a) }
x=3
\\\text{b) }
x=0
\\\text{c) }
x=1
.\end{array}