   Chapter 1, Problem 7P ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Draw the graph of the equation x + |x| = y + |y|.

To determine

To sketch: The equation x+|x|=y+|y|.

Explanation

Definition:

The absolute value is defined as, |x|={xif x0xif x<0.

Calculation:

Consider the equation x+|x|=y+|y|.

Take, x+|x|={2xifx00ifx<0

Similarly, y+|y|={2yify00ify<0

Case (i):x0 and y0

The corresponding equation for this case is,

2x=2yx=y

To sketch:

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

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