Final answer:
The domain of the function f(x, y) = 2xy is all real numbers.
Step-by-step explanation:
The function f(x, y) = 2xy represents a product of two variables, x and y. To find the domain of the function, we need to determine the values that x and y can take. Since there are no restrictions given in the question, we assume that x and y can be any real numbers. Therefore, the domain of the function is all real numbers.
For example, if we take x = 3 and y = -4, the function becomes f(3, -4) = 2(3)(-4) = -24.
Domain: All real numbers