Periodic Functions

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What is a periodic function?

Back

A periodic function is a function that repeats its values at regular intervals or periods. For example, the sine and cosine functions are periodic with a period of 2π.

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What is the amplitude of a periodic function?

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The amplitude of a periodic function is the maximum distance from the center line (midline) to the peak (maximum) or trough (minimum) of the function.

Front

How do you calculate the amplitude of a function?

Back

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What is the period of a function?

Back

The period of a function is the length of one complete cycle of the function. It is the distance along the x-axis after which the function repeats.

Front

How do you find the period of a sine function?

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Front

What does it mean for a function to be non-periodic?

Back

A non-periodic function does not repeat its values at regular intervals. Examples include linear functions and exponential functions.

Front

What is the midline of a periodic function?

Back

The midline of a periodic function is the horizontal line that runs through the middle of the function, equidistant from the maximum and minimum values.

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How does changing the amplitude affect the graph of a periodic function?

Back

Changing the amplitude stretches or compresses the graph vertically. A larger amplitude results in taller peaks and deeper troughs.