Observe that f (x) = x 2 is continuous on [0, 1] with f(0) = 0 and f(l) = 1. Because f (0) < 0.5 < f(l), the Intermediate Value Theorem guarantees there is a c E [0, 1] such that f (c) = 0.5.
Observe that f (x) = x 2 is continuous on [0, 1] with f(0) = 0 and f(l) = 1. Because f (0) < 0.5 < f(l), the Intermediate Value Theorem guarantees there is a c E [0, 1] such that f (c) = 0.5.
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Observe that f (x) = x 2 is continuous on [0, 1] with f(0) = 0 and f(l) = 1. Because f (0) < 0.5 < f(l), the Intermediate Value Theorem guarantees there is a c E [0, 1] such that f (c) = 0.5.
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