College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises: 54

Answer

The curve is not a function of $x$.

Work Step by Step

RECALL: The Vertical Line Test states that if all vertical lines will pass through a graph in at most one point, then the graph represents a function of $x$. Note that most vertical lines (e.g., $x=0$, $x=-1$, $x=1$, etc.) that will pass through the graph at two different points. The graph fails the vertical line test. Thus, the curve does not represent a function of $x$.
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