(1 point) Consider the function f whose graph is shown below. This function is given by Ky f(x, y) = { 12+}; u (x, y) $5 (0'0) 0' (x, Y) = (0, 0). (3) Find a formula for the single variable function f (0, y) . f (0. y) = What is f(0, 0) for this function? f(0. 0) = Find its limit as y > 0! 11111 f (0. y) = y'0 (b) Based on your work in (a), is the single variable function f (0, y) continuous? ? 6 (c) Next, similarly consider f(x, 0) . f(x. 0) = f(0, 0) = lina f (x, 0) = (d) Based on this work in (a), is the single variable function f (x, 0) continuous? ? 3 (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx , for some (constant) value of m. Find and simplify f on any ray y = mx. f(x. mx) = (Again, notice that this means that any ray y = mx is a contour of f; be sure you can explain why.) (f) Is f(x, y) continuous at (0, o)