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: 53

Answer

Domain: $[-2,6]$ Range: $[-6, 18]$

Work Step by Step

We are given: $f(x)=3x$, $-2\leq x\leq 6$ The domain consists of all values that $x$ is allowed to be. In this case, $x$ is restricted to fall between $-2$ and $6$, so the domain is: $[-2, 6]$. The range consists of all values that $y$ can be. We find the extremes of $y$ by using the end points of $x$ (this works because the equation is a line): $f(-2)=3(-2)=-6$ $f(6)=3(6)=18$ Thus the range is: $[-6, 18]$.
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