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AP Calculus AB/Unit 1: Limits and Continuity
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Intermediate Value Theorem Application
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Let $$f$$ be a function that is continuous on the closed interval $$[1, 3]$$ with $$f(1) = 10$$ and $$f(3) = 18$$. Which of the following statements must be true?

A

$$f(x) = 17$$ has at least one solution in the interval $$[1, 3]$$.

B

$$10 \le f(2) \le 18$$

C

$$f$$ is increasing on the interval $$[1, 3]$$.

D

$$f'(x) = 8$$ has at least one solution in the interval $$(1, 3)$$.

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