4e Example 2 (How to Graph the Tangent Function Part 1)

The video tutorial explores the tangent function, highlighting its similarities and differences with sine and cosine functions. It covers key characteristics such as period, phase shift, and vertical transformations. The tutorial also delves into graphing the tangent function, identifying asymptotes, and understanding reflections and vertical stretches. Algebraic methods for solving asymptotes are demonstrated, providing a comprehensive understanding of the tangent function's behavior.

Discuss the impact of vertical shifts on the tangent function's graph.

Identify the new asymptotes when the tangent function is transformed.

What is the overall behavior of the tangent function as it approaches its asymptotes?

How does a vertical stretch factor affect the appearance of the tangent function?