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 - Concept and Vocabulary Check - Page 595: 3

Answer

$\pi$, $x_1=0$, $x_2=\frac{\pi}{4}$, $x_3=\frac{\pi}{2}$, $x_4=\frac{4\pi}{4}$, and $x_5=\pi$.

Work Step by Step

Given the function $y=4sin(2x)$, we can find its period as $p=\frac{2\pi}{2}=\pi$. We can select one period starting from $x_1=0$ and end with $x_5=\pi$. The other points are equally spaced in between, with distance $\Delta x=\frac{\pi}{4}$ and the other values are $x_2=\frac{\pi}{4}$, $x_3=\frac{\pi}{2}$, $x_4=\frac{4\pi}{4}$.
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