Question

What are the period and amplitude of the function?

Answer 1

The period is the distance between one peak and the next peak ( the two highest points)

One peak is at x= 0, the next peak is at x = 5 then the third peak is at x = 10.

Subtract to find the distance: 10-5 = 5 and 5-0 = 5 so the period is 5.

The amplitude is the distance from the centerline to the peak. First find the highest and lowest points to finch the center:

Highest = 3 lowest = -2. The distance between the highest and lowest is 5 so the centerline would be 5/2 = 2.5

The amplitude would be the distance from center to peak which would be 2.5

The answer is:

Period = 5, amplitude = 2.5