Question

Find the range of the quadratic function y = -x^2 - 3x when the domain is {-5, 0, 2}.

Options:
1. Range is {-14, -8, 1}.
2. Range is {1, 8, 14}.
3. Range is {-19, -6, 3}.
4. Range is {3, 6, 19}.

Answer 1

The range of the quadratic function y = -x^2 - 3x when the domain is {-5, 0, 2} is {-10, 0}.

Step-by-step explanation:

To find the range of the quadratic function y = -x^2 - 3x when the domain is {-5, 0, 2}, we need to substitute these values of x into the equation and calculate the corresponding values of y.

For x = -5: y = -(-5)^2 - 3(-5) = -25 + 15 = -10

For x = 0: y = -(0)^2 - 3(0) = 0

For x = 2: y = -(2)^2 - 3(2) = -4 - 6 = -10

Therefore, the range of the quadratic function is {-10, 0}.