Chapter 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 442: 39

Answer

See graph, domain $\{x|x\ne 3k\pi\}$ (k is an integer), range $(-\infty,-3]\cup[1,\infty)$.

Work Step by Step

1. See graph for $y=2csc(\frac{1}{3}x)-1$. 2. We can determine the domain $\{x|x\ne 3k\pi\}$ (k is an integer), range $(-\infty,-3]\cup[1,\infty)$.