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Chapter 3: Q. 27 (page 275)

In Exercises 21鈥�28, graphs of f,f',orf''are given. Whichever is shown, sketch graphs of the remaining two functions. Label the locations of any roots, extrema, and inflection points on each graph

Short Answer

Expert verified

The graph offis,

The graph off'is,

Step by step solution

01

Step 1. Given Information.

The given graph is,

02

Step 2. Graph of f'

According to the given graph,

The graph off'should be decreasing on(-鈭�,2)and increasing on(2,鈭�), with a localminimum atx=2.

03

Step 3. Graph of f.

Now,

The graph of fwould be,

concave down on(-鈭�,2)and concave up on(2,鈭�)with an inflection point onx=2.

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Most popular questions from this chapter

Sketch careful, labeled graphs of each function f in Exercises 63鈥�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 f,f',andf'', and examine any relevant limits so that you can describe all key points and behaviors of f.

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Sketch careful, labeled graphs of each function f in Exercises 63鈥�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 f,f',andf'', and examine any relevant limits so that you can describe all key points and behaviors of f.

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Sketch careful, labeled graphs of each function f in Exercises 63鈥�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 f,f',andf'', and examine any relevant limits so that you can describe all key points and behaviors of f.

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