Question: 2. If f : E > Y, the gmph off is the set of points (1:, f(:c)) E E x Y, for a: E E.

2. If f : E > Y, the gmph off is the set of points (1:, f(:c)) E E x Y, for a: E E. Suppose E is compact. Prove that f is continuous on E if and only if its graph is compact. (You may take the distance function on E X Y to be d((:L', y), ('0, 10)) :2 dE(:1:, v) + dy(y,w).)

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