The function f (x) = -5x^2+3 is defined over the domain - 4

-77 if I understand correctly

Step-by-step explanation:

If the domain is really {-4} and you have the function f (x) = -5x^2+3.

The range is just whatever the result of f (-4) is ...

f (-4) = -5 (-4) ^2+3

f (-4) = -5 (16) + 3

f (-4) = -80+3

f (-4) = -77

So again if the question is really "The function f (x) = -5x^2+3 is defined over the domain {-4}, what is the range?" ... then the answer is just {-77}