Final answer:
The domain of the function f(x, y) = px² - y depends on the value of p. We can sketch the domain by plotting points on a coordinate plane.
Step-by-step explanation:
The domain of the function f(x, y) = px² - y is all possible values of x and y that do not result in undefined or imaginary numbers. In this case, we have no restrictions on x, so the domain of x is (-∞, ∞). However, since we don't have any information about the value of p, we cannot determine the exact domain of y. We can sketch the domain by plotting points on a coordinate plane, using different values of x and y.