Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Quiz (Sections 4.1-4.2) - Page 159: 4

Answer

$y = 3~sin~\pi x$ We can see the graph below. The period is $2$ The amplitude is 3

Work Step by Step

$y = 3~sin~\pi x$ When $x = 0$, then $y = 3~sin~0 = 0$ When $x = \frac{1}{2}$, then $y = 3~sin~\frac{\pi}{2} = 3$ When $x = 1$, then $y = 3~sin~\pi = 0$ When $x = \frac{3}{2}$, then $y = 3~sin~\frac{3\pi}{2} = -3$ When $x = 2$, then $y = 3~sin~2\pi = 0$ We can see the graph below. The period is $2$ The amplitude is 3
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