Effects and Periods of Tangent Functions

In this video, Mario from Mario's Math Tutoring explains how to graph the tangent function. He begins by discussing the challenges students face with tangent graphs and introduces the unit circle to explain tangent values. The video covers the parent function, period, and how coefficients affect the graph. Mario provides examples, including y = 2 * tan(4x) and y = tan(x - π/4), demonstrating how to graph these functions by adjusting periods, asymptotes, and key points. The video concludes with encouragement to explore more math videos.

What is the main topic of the video?

• Graphing the cosine function

• Graphing the quadratic function

• Graphing the sine function

• Graphing the tangent function

What is the tangent value at negative π/2 on the unit circle?

• 1

• 0

• -1

• Undefined

What is the tangent value at π/4 on the unit circle?

• 0

• 1

• Undefined

• -1

What is the tangent value at 0 degrees on the unit circle?

• -1

• 1

• Undefined

• 0

What is the tangent value at π/2 on the unit circle?

• 0

• 1

• Undefined

• -1

What is the period of the parent tangent function?

• 4π

• π/2

• π

• 2π

How do you calculate the period of y = tan(1/2x)?

• 2π

• π divided by 2

• π divided by 1/2

• π multiplied by 2

What is the effect of the coefficient 1/2 in y = tan(1/2x)?

• It compresses the graph horizontally

• It stretches the graph vertically

• It shifts the graph to the right

• It shifts the graph to the left

What is the period of y = tan(1/2x)?

• π

• 2π

• π/4

• π/2

What is the effect of the coefficient 1/2 in y = tan(1/2x)?

• It stretches the graph vertically

• It compresses the graph horizontally

• It shifts the graph to the right

• It shifts the graph to the left