Finite Math and Applied Calculus (6th Edition)

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

Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 71: 16

Answer

In summation we can write the function as: $h(n)=\begin{cases}2, for: 1\le n\le 5\\ 5, for: 5\lt n\le 7\end{cases}$

Work Step by Step

As h is the function of the day of the week, the function will be: $h(n)$, and it is a piece wise function. The domain is $1\le n\le7$, where $n$ is an integer. As during the week we only read 2 hours per day: If $1\le n\le 5$ $h(n)=2$ As during the weekend we read 5 hours per day: If $5\lt n\le 7$ $h(n)=5$ In summation we can write the function as: $h(n)=\begin{cases}2, for: 1\le n\le 5\\ 5, for: 5\lt n\le 7\end{cases}$
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