What is the Domain Range and Vertical Asymptote of Cotangent

The video tutorial explains how to graph the cotangent function, focusing on its domain and range. It begins by setting up the axes and identifying vertical asymptotes at multiples of π. The domain is defined as all real numbers except where X equals π + πN, where N is an integer. The range is all real numbers, as the graph extends infinitely in both vertical directions. The tutorial emphasizes understanding the behavior of the cotangent function and its repeating pattern.

How does the cotangent function repeat itself over its domain?

Describe the behavior of the cotangent function as it approaches its vertical asymptotes.

Explain why the cotangent function cannot be evaluated at certain points.

What is the domain of the cotangent function?

What can you say about the range of the cotangent function?