Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 1 - Linear Functions and Change - 1.1 Functions and Function Notation - Exercises and Problems for Section 1.1 - Exercises and Problems - Page 7: 18

Answer

a.

Work Step by Step

A function is defined as something that cannot have two different outputs for the same input; in simpler terms, that means that there cannot be a singular x value where there are two or more points. A way to figure out if something is a function or not is the vertical line test. We check to see if there is any overlap, and if there is overlap, it is not a function. We can do this test and find that a. is the only function.
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