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 598: 107

Answer

See graph and explanations.

Work Step by Step

Step 1. Graph the function together with $y=sin(x)$ as shown in the figure. Step 2. Compared to $y=sin(x)$, we can see that the given function follows the general shape of $sin(x)$ with modulations due to the extra fractional terms. Step 3. We can also see that a new periodic function is formed with the same period, but has shifts in the minimum and maximum positions from $y=sin(x)$.
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