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University of Southern California

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Problem 78

True or False? In Exercises $77-80$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Amplitude is always positive

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## Discussion

## Video Transcript

Christian number 78 asks us to determine whether or not the following statement is true or false. And if it is false, to explain why we're to give an example that shows it is false. The state Right now amplitude is always positive. What is amplitude? Well, amplitude is that distance that exists between the center of our periodic function, and it's maximums in a minimum points. So this distance right here, that's an amplitude. This distance, right? Here's the amplitude and so on. Well, you might think that it could be positive and negative because it exists above and below our X axis. But that isn't necessarily true. You know what? If our function was up here, you know, it was an amplitude. Amplitude exists about that center line. And the key thing here is the amplitude. It's okay, and distances are never negative. So let me write that down. Amplitude is a distance and distances are never less zero. Therefore, this statement is true. Amplitude is always positive

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