ANSWER
[tex]\begin{gathered} D\colon\lbrace(-4,-1)\cup\lbrack-1,3)\cup\lbrack3,5\rbrack\rbrace \\ R\colon\mleft\lbrace-2,1,3\mright\rbrace \\ YES \end{gathered}[/tex]
EXPLANATION
We want to identify the domain, range, and if it is a function or not.
The domain is the set of all input values of the graph i.e. the set of all values of x that are on the graph.
From the graph, we have that the domain is:
[tex]\mleft\lbrace(-4,-1)\cup\lbrack-1,3)\cup\lbrack3,5\rbrack\mright\rbrace[/tex]
The range of the graph is the set of all output values of the graph, i.e. the set of all values of y that are on the graph.
From the graph, we have that the range is:
[tex]\mleft\lbrace-2,1,3\mright\rbrace[/tex]
A function is a relation whereby each value of x is mapped directly to only one value of y. In other words, every single value of x results in only one value of y.
From the graph, we see that it is a function.
