Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.2 Domain and Range - 7.2 Exercise Set - Page 459: 47


$\{t\in \mathbb{R}\ |\ 0\leq t\leq 5\}$ or $[0,5]$

Work Step by Step

If a function is used as a model for an application, the problem situation may require restrictions on the domain. For example, length and time are generally nonnegative, and a person's age does not increase indefinitely. $ V(t)=250-50t\quad$ can be calculated for any real number t, but the sense of the problem is that we take only a nonnegative amount of time into account. So, $t\geq 0.$ Also, the value $V(t)$ should not be negative, so we restrict t in terms of $250-50t\geq 0$ $250\geq 50t$ $5\geq t$ Domain = $\{t\in \mathbb{R}\ |\ 0\leq t\leq 5\}$ or $[0,5]$
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