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Solved: Draw the graph of a function for which the
Chapter 3, Problem 2E(choose chapter or problem)
QUESTION:
Draw the graph of a function for which the conclusion of Rolle's Theorem does not hold.
Questions & Answers
QUESTION:
Draw the graph of a function for which the conclusion of Rolle's Theorem does not hold.
ANSWER:Solution 2E Step 1 In this problem we have to give an example of a function with the graph where Rolle’s theorem does not hold. First let us see the statement of Rolle’s theorem. Rolle’s theorem: Let a < b. If f is continuous on the closed interval [a,b]and differentiable on the open interval (a,b)and f(a) = f(b)then there is a point cin (a,b) with f (c) = 0.That is under these hypotheses f has a horizontal tangent somewhere between aand b.