Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - 3-2 Solving Systems Algebraically - Practice and Problem-Solving Exercises - Page 148: 77

Answer

The graph does not represent a function. It fails the vertical line test.

Work Step by Step

According to the vertical line test, if we draw a vertical line through any point on the graph, the line will only go through one point on the graph, meaning that there is only one $y$ value for every $x$ value. Note that a vertical line such as $x=0$ will pass through two points on the given graph Thus, the graph fails the vertical line test which means the graph does not represent a function.
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