Graphing the Tangent Function with a Change in Period

The video tutorial explains how to graph the function 1/3 tangent of 3X. It covers determining the period and X scale, finding the start and end points, and graphing the tangent function. The tutorial also discusses the importance of asymptotes and intercepts and provides guidance on finalizing the graph. The instructor emphasizes understanding the graph's shape and using technology to assist in plotting points.

What is the period of the function 1/3 tangent of 3X?

• π/6

• π/3

• 2π

• π

How is the start point of the tangent function different from sine and cosine?

• It starts at X = 0

• It starts at X = -π/2

• It starts at X = -π/6

• It starts at X = π/2

What is the X scale for the function 1/3 tangent of 3X?

• π/3

• π/2

• π/6

• π/4

What is the significance of the intercepts in the tangent graph?

• They are the points where the graph crosses the X-axis

• They are the points where the graph crosses the Y-axis

• They are the points where the graph reaches its minimum

• They are the points where the graph reaches its maximum

How does multiplying by 1/3 affect the tangent graph?

• It shifts the graph downwards

• It makes the graph narrower

• It makes the graph wider

• It shifts the graph upwards