Determine whether the statement is true or false.If f(1) > 0 and f(7) < 0, then there exists a number c between 1 and 7 such that f(c) = 0.TrueFalse

Question

Determine whether the statement is true or false.If f(1) > 0 and f(7) < 0, then there exists a number c between 1 and 7 such that f(c) = 0.TrueFalse
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Solution 1

True. This statement is a direct application of the Intermediate Value Theorem, which states that if a function is continuous on a closed interval [a, b] and k is any number between f(a) and f(b), then there exists a number c in the interval (a, b) such that f(c) = k. In this case, 0 is between f(1) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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