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