Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.1 - Graphs and Graphing Utilities - Exercise Set - Page 161: 87

Answer

The set 1 has each $x$ -coordinate paired with only one $y$ -coordinate.

Work Step by Step

Consider the two sets of ordered pairs, Set 1: $\left\{ \left( 1,5 \right),\left( 2,5 \right) \right\}$ Set 2: $\left\{ \left( 5,1 \right),\left( 5,2 \right) \right\}$ In set 1, both $x$ -coordinates are different (1 and 2), and $y$ -coordinates are the same (5). So, in set 1 only one $y$ -coordinate is 5. Thus, set 1 has each $x$ -coordinate paired with only one $y$ -coordinate. Check for set 2: Set 2: $\left\{ \left( 5,1 \right),\left( 5,2 \right) \right\}$ In set 2, both $x$ -coordinates are the same (5) and the $y$ -coordinates are different (1 and 2). So, in set 2, the $y$ -coordinates are not the same. Hence, set 1 has each $x$ -coordinate paired with only one $y$ -coordinate.
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