Question: suppose that f is a continuous function on [0, 1] 11. Suppose that f is a continuous function on [0, 1] and that f(x) is

suppose that f is a continuous function on [0, 1]

suppose that f is a continuous function on [0, 1] 11.

11. Suppose that f is a continuous function on [0, 1] and that f(x) is in [0, 1] for each x (draw a picture). Prove that f(x) = x for some number x

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