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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.7, Problem 9E

To determine

**To sketch:** The graph of *f.*

Expert Solution

From the graph, it is observed that the graph has a corner point at three points.

Let the three points be *A, B* and *C*. The derivative graph

The graph from point *A* to *B* has negative slope which implies that the derivative graph must have negative value in this section. Since the function is linear in this part,

the derivative graph will be horizontal line.

The graph from point *B* to *C* has positive slope which implies that the derivative graph must have positive value in this section. Since the function is linear in this part,

the derivative graph will be horizontal line.

The graph from point *C* to *D* has negative slope which implies that the derivative graph must have a negative functional value. Since the function is linear in this part,

the derivative graph will be horizontal line.

The graph from point *D* to *E* has positive slope which implies that the derivative graph must have positive functional value. Since the function is linear in this part,

the derivative graph will be horizontal line.

**Graph:**

Use the above information and trace the graph of

Thus,