Chapter 3: Q. 24 (page 261)
Find the possibility graph of its derivative f'.

Short Answer
The possibility graph of its derivative f' is

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Chapter 3: Q. 24 (page 261)
Find the possibility graph of its derivative f'.

The possibility graph of its derivative f' is

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Determine whether or not each function satisfies the hypotheses of the Mean Value Theorem on the given interval . For those that do, use derivatives and algebra to find the exact values of all that satisfy the conclusion of the Mean Value Theorem.
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Sketch careful, labeled graphs of each function f in Exercises 63–82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of and examine any relevant limits so that you can describe all key points and behaviors of f.
For each graph of f in Exercises 49–52, explain why f satisfies the hypotheses of the Mean Value Theorem on the given interval [a, b] and approximate any values c ∈ (a, b) that satisfy the conclusion of the Mean Value Theorem.

For each set of sign charts in Exercises 53–62, sketch a possible graph of f.

Determine whether or not each function f in Exercises 53–60 satisfies the hypotheses of the Mean Value Theorem on the given interval [a, b]. For those that do, use derivatives and algebra to find the exact values of all c ∈ (a, b) that satisfy the conclusion of the Mean Value Theorem.
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