Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.4 Graphs of the Sine and Cosine Functions - 6.4 Assess Your Understanding - Page 410: 71

Answer

$y=3\ sin(\frac{\pi}{2}x)$

Work Step by Step

Step 1. As the curve is odd and increases while passing $(0,0)$, we can write a general form $y=A\ sin(kx)$ Step 2. We can identify the amplitude $A=3$. Step 3. We can identify the period $p=4$, thus $\frac{2\pi}{k}=4$ and $k=\frac{\pi}{2}$ Step 4. The equation is $y=3\ sin(\frac{\pi}{2}x)$
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