Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.4 Graphs of the Sine and Cosine Functions* - 5.4 Assess Your Understanding - Page 435: 100

Answer

See below.

Work Step by Step

1. We can find the period of $y=3cos(\pi x)$ as $p=\frac{2\pi}{\pi}=2$. To have the graph include at least 2 periods of the function, set the x-scale so that its width is greater than 4. 2. The amplitude of the function is $3$ and the curve will oscillate in $[-3,3]$, thus we can set the y-scale to be greater than this range.
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