If f is continuous on the closed interval [a, b], which of the following must be true: (a) f has at least one critical point on (a, b) (b) there exists a point c ∈ (a,b) such that f(c) = 0 (c) f′(c) exists for all c ∈ (a,b) (d) f has an absolute maximum and absolute minimum on [a, b] (e) both (a) and (b) are true.

If f is continuous on the closed interval [a, b], which of the following must be true: (a) f has at least one critical point on (a, b) (b) there exists a point c ∈ (a,b) such that f(c) = 0 (c) f′(c) exists for all c ∈ (a,b) (d) f has an absolute maximum and absolute minimum on [a, b] (e) both (a) and (b) are true.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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