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Chapter 3: Q. 53 (page 275)

For each set of sign charts in Exercises 53鈥�62, sketch a possible graph off.

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information.

The given sign chart is

02

Step 2. Graph of the function.

From the given chart,

f'(x)>0in(-鈭�,2)and(2,鈭�)f''(x)<0.Therefore,thegraphisconcavedown.

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Most popular questions from this chapter

Find the relationship between between the functionsg(x)+10andf(x).

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

Use a sign chart for f'to determine the intervals on which each function fis increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.

f(x)=1sinx

Explain the difference between two antiderivatives of the function.

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.

f(x)=(x鈭�2)(x+2)
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