Transformations of the tangent function

The video tutorial explains how to determine the period of a function, graph it without shifts, and identify asymptotes. It covers the calculation of the period using the reciprocal of the coefficient, graphing the function, and identifying vertical and horizontal transformations. The tutorial also discusses determining the domain and range, focusing on asymptotes and their implications.

How is the period of a graph determined when given the equation πX/3?

• By dividing π by the coefficient of X

• By multiplying π by the coefficient of X

• By subtracting π from the coefficient of X

• By adding π to the coefficient of X

What is the period of the function if B is π/3?

• 1

• 4

• 3

• 2

Where is the first asymptote located in the graph?

• At 2

• At 5/2

• At 3/2

• At 1

What type of transformation involves a vertical stretch?

• Horizontal shift

• Horizontal stretch

• Vertical stretch

• Vertical shift

What is the domain of the function in terms of asymptotes?

• X cannot equal 3/2 plus multiples of 3

• X cannot equal any integer

• X can equal 3/2

• X can equal any integer