The correct option for the domain of the function using set builder notation is the option C.
C. x
The steps used to find the domain of the function in the graph can be presented as follows;
The data in the graph represent a discrete relationship, with data points including; (-8, 1), (-7, 0), (-6, -1), (-5, -2), and (-4, -3)
The domain of a function is the set possible input values of the function
The domain of the discrete function in the graph, which are the possible x-values of the function is; -8. -7, -6, -5, and -4
The requirement to use the set-builder notation to describe the domain indicates that the domain is to be presented as a set represented as a variable, with the elements in the set being defined as follows;
The domain of the function, -8. -7, -6, -5, and -4, described using set builder notation is; x is an integer and -8 ≤ x ≤ -4