The domain is the set of all input values that the function f takes.
Here, the input values are all the x values for whcih f is defined.
From the graph notice that, the x values that the function f takes are from x=-4 to x=-2, and from x=-1 to x=3.
So, the domain is
[tex](-4,-2)\cup(-1,3)[/tex]
The range is set of all ouput values.
Here the output values are all y-values.
From the graph notice that, the y values are from -3 to 5.
So, the range is
[tex](-3,5)[/tex]
