Answer
See graph, domain $\{x| x\ne k\pi\}$ (k is an integer), range $\{y|y\le-3\ or\ y\ge3\}$.
Work Step by Step
1. See graph for $y=-3csc(x)$.
2. We can identify the domain $\{x| x\ne k\pi\}$ (k is an integer), range $\{y|y\le-3\ or\ y\ge3\}$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 442: 27
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