State the amplitude and period for the function below:y=2sin(4x)
Question
State the amplitude and period for the function below:y=2sin(4x)
Solution
The amplitude of the function y=2sin(4x) is 2. The amplitude is the coefficient of the sine function, which determines the peak value of the function.
The period of the function y=2sin(4x) is (2π)/4 = π/2. The period of a sine function is normally 2π, but it is divided by the coefficient of x inside the sine function, which in this case is 4.
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