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 - Page 204: 51


(a) and (c) are functions

Work Step by Step

The vertical line test determines if a graph is a function. The graphs shown in (a) and (c) pass the vertical line test and therefore are functions. The graphs in (b) and (d) fail the vertical line test. A vertical line would pass these functions in two places, implying that there are two different $y$ values for the same $x$ value, which is not allowed for functions. Thus (b) and (d) are not functions.
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