Mathematics, 17.01.2021 08:40 nickocasamplonp6mlob
Let f be a function with selected values given in the table above. Which of the following statements must be true?
I. By the Intermediate Value Theorem, there is a value c in the interval (0,3) such that f(c)=10.
II. By the Mean Value Theorem, there is a value c in the interval (0,3) such that f′(c)=−2.
III. By the Extreme Value Theorem, there is a value c in the interval [0,3] such that f(c)≤f(x) for all x in the interval [0,3].
A. None
B. I only
C. II only
D. I, II, and III
Answers: 2
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