How do i find the domain and range of this and determine whether they are real numbers?

Domain
The domain is the set of all points over which a function is defined. This contains the x-values of the graph.
Hence, the domain of the ellipse is
[tex]\lbrack-7.-1\rbrack[/tex]Range
The set of values the function takes on as output. This consists of the y-values of the function.
Hence, the range of the ellipse is,
[tex]\lbrack-8,-4\rbrack[/tex]Both the values of the domain and the range are real numbers.