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 596: 65


$$y=2\sin \frac{\pi x}{2}$$

Work Step by Step

Looking at the graph, we find that this is the graph of a sine function with amplitude $2$ and period $4$. So, we conclude that$$A=2, \quad B=\frac{2\pi }{4 }=\frac{\pi }{2} \\ \Rightarrow \quad y=A \sin Bx = 2 \sin \frac{\pi x }{2}.$$
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