Understanding Cotangent Functions

The video tutorial guides viewers through determining a possible equation for a function using a graph. It begins by identifying vertical asymptotes and analyzing graph intervals. The behavior of the graph is compared to the basic cotangent function, leading to the identification of the midline and vertical stretch. Parameters b and d are calculated, and the final function equation is formulated as p(u) = 3 * cotangent((pi/6) * u) + 2.

What is the input variable used in the function equation discussed in the video?

• x

• y

• v

• u

Which trigonometric function is identified as resembling the graph in the video?

• Cotangent

• Tangent

• Cosine

• Sine

What is the midline value identified for the graph?

• y = 3

• y = 2

• y = 1

• y = 0

How many units above the midline is the point at x = 1.5?

• 1 unit

• 2 units

• 4 units

• 3 units

What is the vertical stretch factor identified for the graph?

• 1

• 2

• 4

• 3

What is the period of the function as determined in the video?

• 3

• 4

• 5

• 6

What is the value of 'b' in the function equation?

• π/3

• π/4

• π/5

• π/6

Is there a horizontal or phase shift in the function?

• Yes

• Only phase

• No

• Only horizontal

What is the value of 'c' in the function equation?

• 0

• 1

• 2

• 3

What is the final form of the function equation?

• p(u) = 2 * cot(u) + 3

• p(u) = 3 * tan(u) + 2

• p(u) = 3 * cot(u) + 2

• p(u) = 2 * tan(u) + 3