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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1, Problem 7P

To determine

**To sketch:** The equation

Expert Solution

**Definition:**

The absolute value is defined as,

**Calculation:**

Consider the equation

Take,

Similarly,

Case (i):

The corresponding equation for this case is,

**To sketch:**

Use the online graphing calculator and draw the graph as shown below in Figure 1.

From Figure 1, observe that the graph lies in first quadrant as *x* and *y* values are positive.

Case (ii):

The corresponding equation for this case is,

**To sketch:**

Use the online graphing calculator and draw the graph as shown below in Figure 2.

From Figure 2, observe that the graph is negative *y* axis.

Case (iii):

**To sketch:** Use the online graphing calculator and draw the graph as shown below in Figure 3

From Figure 3, observe that the graph is the negative *x* axis.

Case (iv):

From the above four cases, the graph of

From Figure 5, it is observed that the graph contains the entire third quadrant.