Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.3 - Trigonometric Graphs - 5.3 Exercises - Page 431: 88

Answer

(a) periodic $p=2$ (b) not periodic (c) not periodic (d) periodic $p=3$

Work Step by Step

(a) This is a periodic function as it satisfies $f(t+p)=f(t)$ with $p=2$ (b) This is not a periodic function as it does not satisfies $f(t+p)=f(t)$, the amplitudes decay with increasing x. (c) This is not a periodic function as it does not satisfies $f(t+p)=f(t)$, the function jumped across the y-axis. (d) This is a periodic function as it satisfies $f(t+p)=f(t)$ with $p=3$
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