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