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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2, Problem 8T

**(a)**

To determine

**To find:** The value of

Expert Solution

The value of

**Given:**

The piecewise defined function is,

**Calculation:**

The given function is piecewise defined function

So, for

To calculate

Thus, the value of

To calculate

Thus, the value of

**(b)**

To determine

**To sketch:** The graph of function

Expert Solution

The behavior of piecewise defined function is different for different domains.

For

For

Sketch the graph of

Sketch the graph of *x*-axis to get the graph of

Sketch the graph of

Sketch the piecewise defined function as shown in the figure below.

From the above figure, it can be observed that there is a solid dot at