Learn How to Graph the Tangent Function by Changing the Period

The video tutorial explains how to graph the function F(x) = tangent of X/2. It begins by reviewing the parent graph of the tangent function, highlighting its asymptotes and periodic nature. The tutorial then discusses transformations, focusing on phase shifts and period changes. The period for tangent functions is calculated as π/b, where b is the coefficient of X. For the function tangent of X/2, the period is determined to be 2π. The tutorial concludes by demonstrating how to graph the function with these transformations, emphasizing that there is no phase shift or vertical movement.

What are the asymptotes of the basic tangent function?

• 0 and π

• π/2 and -π/2

• π and 2π

• π/4 and -π/4

How do you determine the phase shift of a tangent function?

• By adding π to the coefficient of x

• By finding the reciprocal of the period

• By setting the coefficient of x to zero

• By setting the expression inside the parentheses to zero

What is the formula for the period of a tangent function?

• 2π/b

• π/2b

• π/b

• b/π

How does the period of the function F(x) = tan(x/2) compare to the basic tangent function?

• It is triple the basic tangent function

• It is the same as the basic tangent function

• It is double the basic tangent function

• It is half of the basic tangent function

What is the distance between the asymptotes in the graph of F(x) = tan(x/2)?

• π

• 2π

• π/2

• 3π