[1 if xy = 0 Define : RR by (x, y) = {2 if...

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[1 if xy = 0 Define ƒ : R→R by ƒ (x, y) = {2 if xy + 0 If S = {(x, y)| f is continuous at point (x, y)}. then S is open S is connected S = 0 S' is closed [1 if xy = 0 Define ƒ : R→R by ƒ (x, y) = {2 if xy + 0 If S = {(x, y)| f is continuous at point (x, y)}. then S is open S is connected S = 0 S' is closed