Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.2 - Introduction to Functions - Exercise Set - Page 143: 120

Answer

If al vertical lines pass through at most one point on the graph, then the graph represents a function. Otherwise, it is not a function.

Work Step by Step

The vertical line test is used to know if a given graph represents a function or not. $\\\\$If all vertical lines will pass through at most one point on the graph, then the graph represents a function as it means that each first coordinate is paired with only one second coordinate. $\\\\$On the other hand, if at least one vertical line passes through more than one point on the graph, then the graph does not represent a function as it means that there exists at least one first coordinate that is paired with more than one second coordinate.
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