3. 4 f(z) 1 14 20 31 2.
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![Question 8W
4.
5
f(x)
1
14
20
31
Selected values of a continuous function f are given in the table above. Which of the following statements could be false?
By the Intermediate Value Theorem applied to f on the interval (2, 5], there is a value c such that f (c) = 10.
By the Mean Value Theorem applied to f on the interval [2, 5), there is a value c such that f' (c) = 10.
By the Extreme Value Theorem applied to f on the interval [2, 5], there is a value c such that f (c) < f (x) for all a in 2, 5|.
By the Extreme Value Theorem applied to f on the interval 2, 5, there is a value c such that f (c) zf(x) for all æ in (2, 5].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe13e5ec1-9769-467b-8c87-9f10a0e8616b%2F2158de17-681e-4b6c-b81a-e92a14e2c675%2Fdg0ylft_processed.jpeg&w=3840&q=75)
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