Identify the Reflections, Period and Domain of the Cotangent Function

The video tutorial covers the reflection of functions on the X-axis, horizontal compression, and its impact on trigonometric functions' periods. It explains how the period changes for sine, cosine, tangent, and cotangent functions. The tutorial also guides identifying asymptotes for cotangent graphs, emphasizing the changes in domain and period when the period is divided by three.

What is the result of multiplying a function by a negative number outside the function?

• Vertical stretch

• Reflection over the X-axis

• Reflection over the Y-axis

• Horizontal shift

What happens when you multiply a function by a number greater than one inside the function?

• Vertical stretch

• Horizontal stretch

• Vertical compression

• Horizontal compression

How does horizontal compression affect the period of sine and cosine functions?

• The period becomes π times B

• The period becomes 2π divided by B

• The period becomes 2π times B

• The period becomes π divided by B

For the cotangent function, what is the formula for the period?

• 2π divided by B

• π times B

• 2π times B

• π divided by B

Where do the asymptotes occur for the cotangent function when the period is changed to π/3?

• X equals 0

• X equals π

• X equals π/3

• X equals 2π