Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.7 Functions and Function Notation - 1.7 Exercises - Page 107: 33

Answer

The given equation is a function.

Work Step by Step

Using a table of values, the graph of the given equation is shown below. The Vertical Line Test states that if a vertical line intersects the graph of the equation in at most $1$ point, then the equation defines a function. Since in the graph below, any vertical line such as $x=-1.5$ and $x=0.5$ intersect the graph of the given equation in at most one point, then the given equation defines a function.
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