What are the amplitude, period, and phase shift of the given function?
Ft) = -4 sin (7t + 3)

Amplitude: 4

Period: 0.898 seconds.

Phase shift: 6.142 radians.

Explanation:

A sinusoidal function is defined by the following model:

(1)

Where:

- Amplitude.

- Angular frequency, measured in radians per second.

- Phase shift, measured in radians.

We need to transform the given function into this form by trigonometric means. The following trigonometric identity is used:

(2)

Then,

Then, the following information is found:

, ,

The period of the given function (), measured in seconds, is determined by the following formula:

(3)

Then, the following information is found:

Amplitude: 4

Period: 0.898 seconds.

Phase shift: 6.142 radians.

did you get the answer?

. a function is a relation in which each input has only one output. in the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.