Precalculus (6th Edition) Blitzer

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

Chapter 1 - Review Exercises - Page 300: 15

Answer

The relation $\left[ \left( 2,7 \right),\ \left( 3,7 \right),\ \left( 5,7 \right) \right]$ is a function. The domain of the function is $\left\{ 2,\ 3,\ 5 \right\}$ and the range of the provided function is $\left\{ 7 \right\}$.

Work Step by Step

Let us the consider the given relation: $\left[ \left( 2,\ 7 \right),\ \left( 3,\ 7 \right),\ \left( 5,\ 7 \right) \right]$ For a relation to be a function, each input must be related to exactly one output. So, the relation represents a function as each input is related to exactly one output. The domain of a function is a set of x values. Thus, the domain of the function will be $\left\{ 2,\ 3,\ 5 \right\}$. The range of a function is a set of y values. Therefore, the range of the function will be $\left\{ 7 \right\}$. Hence, the relation is a function if each input is related to exactly one output.
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