The given function is expressed as
f(x) = x^2 - 2x - 7
The domain is the set of all possible input values or x values of the function
The range is the set of all possible output values or y values of the function
Given that the domain is (- 5, - 1, 4), we would substitute the values into the function. Thus,
For x = - 5
f(- 5) = (- 5)^2 - 2(- 5) - 7 = 25 + 10 - 7 = 28
For x = - 1,
f(- 1) = (- 1)^2 - 2(- 1) - 7 = 1 + 2 - 7 = - 4
For x = 4,
f(4) = (4)^2 - 2(4) - 7 = 16 - 8 - 7 = 1
The values in the range is written in ascending order. Thus, the range is (- 4, 1, 28)
Option A is correct