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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 4.2, Problem 12E

(a)

To determine

**To sketch:** The graph of a function on

Expert Solution

Let *x* be represented in the *x*-axis and the value of the function
*y*-axis.

Absolute maximum is any point of the domain at which the function attains its maximum value. Since the given interval is
*x* = 2.

Local maximum is the point in the considered interval of the domain at which the function attains its maximum value.

Draw the graph of the function

From Figure 1, observe that the absolute maximum occurs at

(b)

To determine

**To sketch:** The graph of a function on

Expert Solution

Let *x* be represented in the *x*-axis and the value of the function
*y*-axis.

Local maximum is the point in the considered interval of the domain at which the function attains its maximum value.

Consider any greatest point on the interval

Absolute maximum is any point of the domain at which the function attains its maximum value.

Draw the graph of the function

From Figure 2, it is observed that the graph has local maximum at

**Note:** If it has no hole at