1 3 f (z) 15 14 12 Let f be a function with selected values given in the table above. Which of the following statements must be true? 1. By the Intermediate Value Theorem, there is a valuecin the interval (0, 3) such that f (c) = 10. H. By the Mean Value Theorem, there is a value cin the interval (0, 3) such that f' (c) = -2. II. By the Extreme Value Theorem, there is a value cin the interval [0, 3] such that f (c) < f (z) for all z in the interval [0, 3]. None I only Il only I, 1I, and III

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