Asymptotes and Period of Functions

The video tutorial explains how to determine the period of a function by identifying the coefficient of x and calculating the period as pi divided by this coefficient. It then guides viewers through graphing the function, identifying asymptotes, and understanding transformations. The tutorial also covers determining the range and domain of the function, emphasizing the importance of asymptotes in these calculations.

What is the first step in determining the period of a graph?

• Identify the amplitude

• Find the vertical shift

• Calculate the horizontal shift

• Determine the coefficient b

How do you calculate the period of a function?

• Add pi to b

• Subtract b from pi

• Multiply pi by b

• Divide pi by b

What is the period of a function if b is pi/3?

• 4

• 1

• 2

• 3

Where is the first asymptote located in the graph?

• At 2

• At 3

• At 1

• At 3/2

What is the distance between consecutive asymptotes?

• 3

• 2

• 1

• 4

What type of transformation involves a vertical stretch?

• Horizontal compression

• Vertical stretch

• Vertical shift

• Horizontal shift

What is the horizontal compression factor in the transformation?

• 1/3

• 3

• pi/3

• pi

What is the range of the function discussed?

• 0 to 1

• 0 to infinity

• -infinity to 0

• -infinity to infinity

What is the domain restriction related to asymptotes?

• x cannot equal 3

• x cannot equal 2

• x cannot equal 3/2

• x cannot equal 1

How often do asymptotes occur in the function?

• Every 1 unit

• Every 4 units

• Every 2 units

• Every 3 units