Graphing the Cotangent Function with a Change in Period

The video tutorial explains how to graph the cotangent function, starting with identifying key values such as the period, which is calculated by dividing π by the coefficient of the variable. The tutorial covers finding critical points, X intercepts, and asymptotes, and determining the initial graph. It also discusses transformations and how they affect the graph. The cotangent graph is shown to rise left and fall right, and the tutorial concludes with a sketch of three periods of the cotangent function.

What is the period of the cotangent function when the coefficient of the variable is π/2?

• 1

• 2

• π

• π/2

How are the critical points of the cotangent graph determined?

• By dividing the period by 3

• By multiplying the period by 2

• By adding π to the period

• By dividing the period by 2

Where does the initial cotangent graph start and end?

• Starts at 0 and ends at 2

• Starts at 0 and ends at π

• Starts at π/2 and ends at π

• Starts at π and ends at 2π

What is the pattern of the cotangent function?

• Does not rise or fall

• Rises left and falls right

• Rises and falls symmetrically

• Rises right and falls left

How many periods of the cotangent graph are sketched in the example?

• 4

• 3

• 2

• 1