Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Chapter Review - Review Exercises - Page 113: 1

Answer

Function. Domain: $\left\{-1, 2, 4\right\}$ and Range: $\left\{0, 3\right\}$

Work Step by Step

A function can not have two different $y$ coordinates for the same $x$ coordinate. We see that every $x$ coordinate in the given relation is paired with only one $y$ coordinate. Therefore, the given relation is a function. The domain of any function consists of the values it can take on the x-axis, whereas the range consists of the values it can take on the y-axis. Thus, this function has the following domain and range: Domain: $\left\{-1, 2, 4\right\}$ and Range: $\left\{0, 3\right\}$
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