Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises: 7

Answer

The curve is not the graph of a function of x because there is more than one value of x for each value of y.

Work Step by Step

Looking at the graph, we can see that when x=-1, y is equal to -1.75, 0.75 and 1.25. If one value of x gives several values of y, it is not a function. Hence, the curve of the graph does not represent a function of x.
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