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Sketching of a function knowing its derivative

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The function f is differentiable on the interval [-1,1]. The table shows the values of f' for selected values of x. Sketch the graph of f, approximate the critical numbers, and identify the relative extrema.

x -1 -0.75 -0.50 -0.25
f'(x) -10 -3.2 -0.5 0.8

x 0 0.25 0.50 0.75 1
f'(x) 5.6 3.6 -0.2 -6.7 -20.1

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Solution Summary

The solution provides detailed drawings and explanations in Word and Excel files.

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Please see the attached files.

After sketching f' in the attached excel file, we can observe:
- From x=-1 to x=-0.5, the ...

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