Final answer:
The range of the function y = -x^2 - 3x when the domain is {-5, 0, 2} is {-10}.
Step-by-step explanation:
The range of the function y = -x^2 - 3x when the domain is {-5, 0, 2} can be found by substituting the given values of x into the equation and calculating the corresponding values of y.
Let's substitute x = -5:
y = -(-5)^2 - 3(-5) = -25 + 15 = -10
Next, substitute x = 0:
y = -(0)^2 - 3(0) = 0
Finally, substitute x = 2:
y = -(2)^2 - 3(2) = -4 - 6 = -10
So, when x = -5, 0, or 2, the corresponding values of y are -10. Therefore, the range of the function is {-10}.