BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.8, Problem 30E
To determine

To graph: The region provided by the set {(x,y)||y|2} .

Expert Solution

Explanation of Solution

Given information:

The set, {(x,y)||y|2} .

Graph:

The graph of the region provided by the set {(x,y)||y|2} is sketched in the coordinate plane.

Recall that |x|a is equivalent to axa .

Therefore, |y|2 is equivalent to 2y2 .

Construct horizontal lines y=2 and y=2 and shaded the region between it.

The region obtained is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 30E

Interpretation:

The region provided by the set {(x,y)||y|2} is shaded region. The dark horizontal line at y=2 and y=2 denote that they are included in the region.The region consists of all those points whose y-coordinate lie between y=2 and y=2 . Therefore, shaded region is the region between horizontal lines y=2 and y=2 and these two horizontal lines are included in the region.

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