Question

Given the function g(x) = -5x + 2, find the range given the domain {-3, 0, 3, 6}.

Options:
A. -17, -2, 23, 32
B. -17, -2, 2, 32
C. -17, 2, 23, 32
D. -17, -2, 2, 23

Answer 1

The range of the function g(x) = -5x + 2 for the domain {-3, 0, 3, 6} is {17, 2, -13, -28}.

Step-by-step explanation:

To find the range of the function g(x) = -5x + 2 given the domain {-3, 0, 3, 6}, we need to substitute each value from the domain into the function and calculate the corresponding output.

1. For x = -3: g(-3) = -5(-3) + 2 = 15 + 2 = 17
2. For x = 0: g(0) = -5(0) + 2 = 0 + 2 = 2
3. For x = 3: g(3) = -5(3) + 2 = -15 + 2 = -13
4. For x = 6: g(6) = -5(6) + 2 = -30 + 2 = -28

Therefore, the range of the function given the domain is {17, 2, -13, -28}.