Question: Suppose f is continuous on some interval I = [a,b] C R and that f(a) 0. Use the least upper bound property of R to

Suppose f is continuous on some interval I = [a,b] C R and that f(a) 0. Use the least upper bound property of R to prove that f(c) = 0 for some (a,b). Hint: Define S = {z [a,b]|f(x)

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