Answer:
Range: [-7, -1, 5]
Step-by-step explanation:
When it asks for range, its looking for the y-values.
The domain is given (x-values) [-2, 1, 4]
[tex]f(x) = -(-2)^2 + 3(-2) + 3 = -(4) -6 + 3 = -7[/tex]
[tex]f(x) = -(1)^2 + 3(1) +3 = -1 + 3 + 3 = 5[/tex]
[tex]f(x) = -(4)^2+3(4)+3= -16 + 12 + 3 = -1[/tex]
Range:
[-7, -1, 5]