Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.1 - Functions from the Numerical, Algebraic, and Graphical Viewpoints - Exercises - Page 54: 49a

Answer

The appropriate domain for the function is $0\le t\le 10$ The given domain of $0\le t$ is not appropriate, as it doesn't stop at 2004. (We can't estimate the value of trade in 2005 with this function.)

Work Step by Step

In order to find the appropriate domain of $C(t)$, we have to look at what $t$ means. As it stands for the years since 1994, it must be positive, however the function only goes as far as 2004, therefore it must stop at $t=10$. Hence, the appropriate domain for the function is $0\le t\le 10$ The given domain of $0\le t$ is not appropriate, as it doesn't stop at 2004. (We can't estimate the value of trade in 2005 with this function.)
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