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A tuning fork vibrates with a frequency of 440 hertz (cycles/second). When the tuning fork is struck, it produces a change in the normal air pressure in the room.

Function p represents this situation, where p(t) is the change in pressure, in pascals, relative to the normal air pressure in the room as a function of time, t, in seconds, after the tuning fork is struck.

What is the domain within the context of this situation?

The domain of the function is: t ≥ ____

Respuesta :

Answer:

Domain- o

Range -5, 5

Step-by-step explanation:

Ver imagen curlyfriesashia1

The domain of the function is t ≥ 0, and the range of the function is -5 ≤ p(t) ≤ +5.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function:

p(t) = 5sin(880πt)

As we know, the range of a sin function varies between -1 to +1

-1 ≤ sinx ≤ +1   or

-1 ≤ sin(880πt) ≤ +1

-5 ≤ 5sin(880πt) ≤ +5

-5 ≤ p(t) ≤ +5

And t is the time, and it cannot be negative,

So, t ≥ 0

Thus, the domain of the function is t ≥ 0, and the range of the function is -5 ≤ p(t) ≤ +5.

Learn more about the function here:

brainly.com/question/5245372

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