Consider the function. f(x, y) = 2(y + 1)x² Identify the point(s) on the graph of f at which the tangent plane is horizontal. O (0, y) for all y O(x, 0) for only x ≥ 0 O (0, 2) O (2,0) (x, 0) for all x

2. Is it possible for a function f(x, y) to satisfy both ƒ(1, 2) = 5 and f(0,0) = 5? If yes, give an example; if no, explain why. (Hint: Two different inputs, but the same output?)