What is the Domain Range and Vertical Asymptote of Tangent

The video tutorial explains how to evaluate the domain and range of the tangent function. It begins with a rough sketch of the tangent graph, highlighting its cyclical nature and key features such as intercepts and asymptotes. The domain is identified as all real numbers except where vertical asymptotes occur, which are spaced π units apart. The range is described as all real numbers, as the graph extends infinitely in both positive and negative directions.

What are the vertical asymptotes of the tangent function?

What does it mean for the tangent function to be undefined at its asymptotes?

How can you express the domain of the tangent function mathematically?

Explain how the periodic nature of the tangent function affects its domain.

Describe the range of the tangent function.