Final answer:
The calculated range for the function g(x) = -14 - 2x with the domain x = {2, 4, 9} is {-18, -22, -32}, which does not match any of the provided options A, B, C or D.
Step-by-step explanation:
The range of the function g(x) = -14 - 2x when the domain is x = {2, 4, 9} can be found by substituting each value of the domain into the function and finding the corresponding y values.
- For x = 2, g(2) = -14 - 2(2) = -14 - 4 = -18.
- For x = 4, g(4) = -14 - 2(4) = -14 - 8 = -22.
- For x = 9, g(9) = -14 - 2(9) = -14 - 18 = -32.
The range is therefore the set of these y values, which is {-18, -22, -32}.
Therefore, option C, y = {10, 22, 32}, is incorrect because the signs of the numbers in the range should be negative. The correct answer is not provided among the options A, B, C, and D, as the values do not match the calculated range of the function.