Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.3 Functions - 2.3 Exercises: 38

Answer

The given relation defines $y$ as a function of $x$. domain: $(-\infty, +\infty)$ range: $(-\infty, +\infty)$

Work Step by Step

For every value of $x$, the equation $y=-6x+4$ gives only one value of $y$. This means that every value of $x$, $x$ is paired with only one value of $y$. Thus, the given relation defines $y$ as a function of $x$. The value of $x$ can be any real number so the domain is $(-\infty, +\infty)$. Since $x$ can be any real number and $y$ is four more than the product of $-6$ and $x$, then $y$ can be any real number as well. Thus, the range is $(-\infty, +\infty)$ .
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