Section 13 - 1: Periodic Relationships

Amplitude - identifies the highest and lowest output values.

Midline - What the amplitude is centered around.

Period - the interval of time that a relation takes to complete one cycle or rotation. Think a year here...the period would be 365 days.

Find the highest y - output and the lowest output.

Calculate the distance between the highest and lowest values.

Divide it by two...this is the amplitude.

(2 - (-2)) = 4...4/2 = 2. The amplitude is 2.

You can start at one of three places; a highest point, a lowest point, or a zero.

Find the x - value at that point. Let's start at the coordinate point (-3, 2) this would be a "highest point." The x - value is -3.

Follow the function until you reach the SAME y - value that you started at. You will use that x - value as the ending point. The point (1, 2) would be the NEXT, same y - value. The x - value is 1.

The distance between the x - values is the period.

1 - (-3) = 4; the period is 4 units.

You can also simply count!