Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 7 - Trigonometry and Periodic Functions - Review Exercises and Problems for Chapter Seven - Page 316: 41


amplitude = $1$ midline: $y=7$ period = $2\pi$

Work Step by Step

Equate this equation to the formula $$y=A\sin(B(t-h))+k$$ where $|A|$ is the amplitude, $2\pi/|B|$ is the period, and the midline is $y=k$. Using this form for the equation gives amplitude equal to $|1|=1$, period equal to $2\pi/1=2\pi$, and midline $y=7$.
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