Question

Given the function below, find:

The amplitude of the function is

The period of the function is

Answer 1

• amplitude = 2
• period = π

Explanation:

You want the amplitude and period of the sine function shown.

Amplitude

The amplitude is the vertical distance from the midline to the peak of the sine function graph. This sine function has an amplitude of 2 units.

Period

The period is the horizontal distance between a point and the repetition of that point. For sine and cosine functions, it is convenient to use peaks or zero-crossings to identify corresponding points. This sine function has a period of π units.

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