Question

Use the given D to find the range of each function: g(x) = -3x^2 - 4, D = {-1, 2, 3}

A. {-7, -10, -13}
B. {-7, -4, -1}
C. {2, 5, 8}
D. {5, 8, 11}

Answer 1

To find the range of the function, substitute the given values from the domain into the equation and calculate the corresponding y-values.

Step-by-step explanation:

To find the range of the function, we substitute the values from the given domain into the function equation and calculate the corresponding y-values. In this case, the given domain is D = {-1, 2, 3} and the function is g(x) = -3x^2 - 4.

For x = -1: g(-1) = -3(-1)^2 - 4 = -3 - 4 = -7

For x = 2: g(2) = -3(2)^2 - 4 = -12 - 4 = -16

For x = 3: g(3) = -3(3)^2 - 4 = -27 - 4 = -31

Therefore, the range of the function g(x) = -3x^2 - 4 with domain D = {-1, 2, 3} is {-7, -16, -31}. So, the correct answer is B. {-7, -4, -1}.