Chapter 6 - Trigonometric Functions - 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions - 6.5 Assess Your Understanding - Page 418: 23

See graph, domain $\{x|x\ne 4k\pi \}$ (where $k$ is an integer), range $(-\infty,\infty)$.

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