We are given a graph and asked to find the domain and the range of the graph in compound inequality form.
Domain:
The domain of a function is all the possible input (x) values for which the function is defined.
As you can see, the function is defined for x is equal to or greater than 2 and equal to or less than -4
So, the domain of the function is
[tex]2\le x\le-4[/tex]
Range:
The range of a function is all the possible output (y) values corresponding to the input (x) values.
As you can see, the range of the function is y is equal to or greater than -4 and equal to or less than 5
[tex]-4\le y\le5[/tex]
Therefore, the domain and range of the given function in the compound inequality form is
[tex]\begin{gathered} domain\colon2\le x\le-4 \\ range\colon-4\le y\le5 \end{gathered}[/tex]
