Answer
This graph is not a function.
Work Step by Step
This is because there are numerous $x$ values that have two $y$ values each. A function can only have one $y$ value for every $x$ value. For more information, this figure is an ellipse.
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 1 - Ingredients of Change: Functions and Limits - 1.1 Activities - Page 11: 43
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