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 409: 48

Answer

See graph. $(-\infty,\infty)$, $[-6,2]$.

Work Step by Step

Step 1. See graph for $y=4sin(\frac{\pi}{2} x)-2$ with key points or transform from $y=sin(x)$ (shrink horizontally by a factor of $\frac{2}{\pi}$, stretch vertically by a factor of 4, then shift 2 units down.) Step 2. Based on the graph, we can determine the domain as $(-\infty,\infty)$ range as $[-6,2]$.
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