Chapter 2.7, Problem 23E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Sketch the graph of a function *f* for which *f*(0) = 0, *f*'(0) = 3, *f'*(l) = 0, and *f'*(2) = – 1.

To determine

**To sketch:** The graph of the function

Explanation

**Given:**

The values.

**Calculation:**

Here given values

That is, the graph of the function *x*-axis at the points

Note that,

The given values

That is, the slopes of tangent to the function

Note that, the slope zero at a point means horizontal tangent line at that point.

Thus, the graph of the function

Note that, the value *x* when

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P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-1PCh-2 P-2PCh-2 P-3PCh-2 P-4PCh-2 P-5PCh-2 P-6PCh-2 P-7PCh-2 P-8PCh-2 P-9PCh-2 P-10PCh-2 P-11PCh-2 P-12PCh-2 P-13PCh-2 P-14P

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