Question: 4. Suppose that the real function f(z) on a closed, bounded interval I = [a, b] has the property that every value of the function

4. Suppose that the real function f(z) on a closed, bounded interval I = [a, b] has the property that every value of the function is attained exactly twice; that is, for each y f(I), there are exactly two distict 1, z2 I such that f(z1) = f(xz2) = y. Prove that f(z) is not continuous on

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