5. If a function f(x) has the same value at the endpoints of a particular interval, will there always be a point within the interval where f'(x) = 0? You may use example to justify your answer.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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5. If a function f(x) has the same value at the endpoints of a particular interval, will there always be a point
within the interval where f'(x) = 0? You may use example to justify your answer.
Transcribed Image Text:5. If a function f(x) has the same value at the endpoints of a particular interval, will there always be a point within the interval where f'(x) = 0? You may use example to justify your answer.
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