Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 597: 83

Answer

See graph and explanations.
1583846071

Work Step by Step

Based on the given data, we can make a graph as shown in the figure. It can be seen that the pattern resembles a cosine curve $y=12+2cos(\omega t)$. As the period is $p=12$ months, we have $\omega=\frac{2\pi}{p}=\frac{\pi}{6}$; thus the function is $y=12+2cos(\frac{\pi}{6} t)$.
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