Graphing the Cotangent Function with a Period Change

The video tutorial explains how to graph the cotangent function. It begins with an introduction to the basic properties of the cotangent graph, including its vertical asymptotes and X intercepts. The tutorial then covers transformations and how to calculate the period of the graph. It explains how to find critical points, which are essential for graphing, and concludes with a step-by-step guide to graphing the cotangent function, highlighting the importance of asymptotes and intercepts.

What are the vertical asymptotes of the basic cotangent graph?

• 0 and π

• π/2 and 2π

• π/2 and π

• 0 and 2π

How do you calculate the period of a transformed cotangent function?

• 2π multiplied by B

• 2π divided by B

• π divided by B

• π multiplied by B

What is the new period of the cotangent function when B is 1/2?

• π/2

• π

• 4π

• 2π

Why is it important to find critical points when graphing the cotangent function?

• To determine the amplitude

• To identify asymptotes and X-intercepts

• To calculate the slope

• To find the maximum and minimum values

What is the X-intercept of the cotangent graph within one period?

• 0

• π

• 2π

• π/2