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AP Calculus BC/Unit 1: Limits and Continuity
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Extreme Value Theorem Conditions

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Which of the following functions is not guaranteed by the Extreme Value Theorem to have a minimum value on the given interval?

A

f(x) = sin(x) on the interval [0, π]

B

f(x) = x^3 - x^2 + x - 1 on the interval [-1, 1]

C

f(x) = 2x - 1 on the interval [-1, 1]

D

f(x) = e^x on the interval [-∞, ∞]

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