Gráfica De La Función Tangente

How to Sketch the Graph of y = a tan(x)

Introduction to the Tangent Function

• The speaker begins by explaining how to sketch the graph of y = a tan(x), using a Cartesian plane divided into sections.

• The focus is on vertical and horizontal asymptotes, with the first vertical asymptote located at pi/2.

Asymptotes in the Tangent Graph

• Each distance of pi introduces another vertical asymptote; for example, at 3pi/2 and continuing indefinitely.

• Horizontal asymptotes are also discussed, appearing at regular intervals along the x-axis.

Shape and Behavior of the Tangent Graph

• The graph approaches its vertical asymptotes but never touches them, curving upwards towards positive infinity on one side and downwards towards negative infinity on the other.

• A basic sketch illustrates this behavior, emphasizing symmetry around the origin.

Conclusion