Final answer:
The domain of the function f(x) = -2/3x - 4, given the range of {-8, -6, -2, 0}, is all real numbers as there are no restrictions like division by zero.
Step-by-step explanation:
The function provided in the question is f(x) = -2/3x - 4. We are given the range of the function, which is {-8, -6, -2, 0}. To find the domain, we need to determine which x-values we can plug into the function to yield the given range. Looking at the function, there are no restrictions such as division by zero or negative square roots that would restrict the domain. Therefore, option A, all real numbers, should be the domain of the function.