Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 18: 12

Answer

No

Work Step by Step

According to the Vertical Line Test, a curve in the $xy$-plane is a graph of a function of $x$ if no vertical line intersects the graph more than once. Therefore we graph the given equation $2x−∣y∣=0$ to check if it passes the Vertical Line Test. We find a vertical line ($x=20$) that intersects the graph more than once, in the picture below. This means that the given equation does not define $y$ as a function of $x$.
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