Let f (x) = x2 1, 0 x 2 (a) Graph y = f (x) for 0 x 2. (b) Show that f (0) < 0 < f (2)

Chapter 3, Problem 1

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Let f (x) = x2 1, 0 x 2 (a) Graph y = f (x) for 0 x 2. (b) Show that f (0) < 0 < f (2) and use the intermediate-value theorem to conclude that there exists a number c (0, 2) such that f (c) = 0.

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