If f(x) is continuous in the interval [-2, 1], ƒ(−2) = −4, and f(1) = -1, can we use the Intermediate Value Theorem to conclude that f(c) = 0 where -2 < c < 1? Select the correct answer below: Yes, the Intermediate Value Theorem guarantees that f(c) = 0. No, the Intermediate Value Theorem does not guarantee this conclusion, but f(c) = 0 could be true and cannot be ruled out.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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If f(x) is continuous in the interval [−2, 1],ƒ(-2) = −4, and f(1) = -1, can we use the Intermediate Value Theorem to
conclude that f(c) = 0 where -2 < c < 1?
Select the correct answer below:
● Yes, the Intermediate Value Theorem guarantees that f(c) = 0.
O
No, the Intermediate Value Theorem does not guarantee this conclusion, but f(c) = 0 could be true and cannot be
ruled out.
Transcribed Image Text:If f(x) is continuous in the interval [−2, 1],ƒ(-2) = −4, and f(1) = -1, can we use the Intermediate Value Theorem to conclude that f(c) = 0 where -2 < c < 1? Select the correct answer below: ● Yes, the Intermediate Value Theorem guarantees that f(c) = 0. O No, the Intermediate Value Theorem does not guarantee this conclusion, but f(c) = 0 could be true and cannot be ruled out.
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