Chapter 5 - Trigonometric Functions - Section 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 5.5 Assess Your Understanding - Page 442: 35

Answer

See graph, domain $\{x|x\ne \frac{3(2k+1)}{4}\}$ (k is an integer), range $\{y|y\le1\ or\ y\ge3\}$.

Work Step by Step

1. See graph for $y=sec(\frac{2\pi}{3}x)+2$. 2. We can determine the domain $\{x|x\ne \frac{3(2k+1)}{4}\}$ (k is an integer), range $\{y|y\le1\ or\ y\ge3\}$.