Answer:
D) y2 = -5x - 8
Step-by-step explanation:
A function is a rule between two sets A and B so that each element of set A (Domain) corresponds to a single element of set B (Range). Mathematically they can be expressed as:
[tex]f: A\rightarrow B\\\\a\rightarrow b =f(a)[/tex]
So:
[tex]y^2=-5x-8\\\\y=\pm \sqrt{-5x-8}[/tex]
Isn't a function because the elements of the domain don't corresponds to a single element of the range.
We can see this in an easier way using the vertical line test, which is a visual way to determine if a curve is a graph of a function or not. If a vertical line intersects a curve in an xy plane more than once, then for a value of x the curve has more than one value of y, and then the curve does not represent a function.
I attached you the graphs, so you can corroborate the results visually.
