Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 4 - Section 4.2 - Amplitude, Reflection, and Period - 4.2 Problem Set - Page 205: 40

Answer

$Amplitude$ $=$ $3$ $Period$ $=$ $\pi$

Work Step by Step

The highest point in the graph is at $y = 3$, therefore amplitude is $3$. The period can be calculated by taking one completed cycle. Based on the graph: $Period$ $=$ $\frac{3\pi}{4} + \frac{\pi}{4}$ $=$ $\frac{4\pi}{4}$ $=$ $\pi$ Note: We use the absolute value of $\frac{\pi}{4}$.
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