College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 193: 51

Answer

Domain: $(-\infty,\ \infty)$ Range: $(-\infty,\ \infty)$

Work Step by Step

We are given: $f(x)=3x$ The domain consists of all values that $x$ is allowed to be. In this case, there are no restrictions on $x$, so the domain is all real numbers. Domain: $(-\infty,\ \infty)$. The range consists of all values that $y$ can be. Since this is a graph of a diagonal line, $y$ takes on all real values. Range: $(-\infty,\ \infty)$.
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