Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 6.5 Assess Your Understanding - Page 418: 37

Answer

See graph, domain $\{x|x\ne 2\pi k\}$ (where $k$ is an odd integer), range $(-\infty,\infty)$.

Work Step by Step

Step 1. See graph for $y=\frac{1}{2}tan(\frac{1}{4}x)-2$. Step 2. Based on the graph, we can determine the domain $\{x|x\ne 2\pi k\}$ (where $k$ is an odd integer), range $(-\infty,\infty)$.
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