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}