Understanding Periodic Functions

The video tutorial explains how to write the equation of a periodic function, focusing on identifying the midline and amplitude. It discusses determining whether the function is sine or cosine by analyzing its behavior at x=0. The tutorial also covers calculating the period and finding the coefficient k to complete the function's equation.

What is the midline of the function described in the video?

• y = -5

• y = 1

• y = -2

• y = 0

How is the amplitude of the function determined?

• By finding the difference between the maximum and minimum values.

• By finding the average of the maximum and minimum values.

• By finding the distance from the midline to the maximum or minimum.

• By finding the sum of the maximum and minimum values.

Why can the cosine function be ruled out for this periodic function?

• Because the function evaluates to zero at x=0.

• Because the function does not start at the midline.

• Because the function is not periodic.

• Because the function has a negative amplitude.

What is the period of the function described in the video?

• 6

• 8

• 4

• 10

What is the value of k in the function f(x) = 3 sin(kx) - 2?

• pi/8

• pi/4

• pi/6

• pi/2