Final answer:
The amplitude of the sinusoidal function f(x) = sin(x) is 1. The function is not stretched or compressed vertically.
Step-by-step explanation:
The amplitude of a sinusoidal function describes the maximum displacement from the equilibrium position. In the given function f(x) = sin(x), the amplitude is 1, which means that the maximum displacement from the equilibrium position is 1 unit. The function is not stretched or compressed vertically as the amplitude of 1 remains the same.
The amplitude of the sinusoidal function f(x) = ½ sin(x) is ½. The amplitude of a sinusoidal wave is the maximum value that the function reaches, which in this case is ½, as indicated by the coefficient in front of the sine function. When comparing this to the basic sine function, which has an amplitude of 1, we can see that the given function is compressed vertically because the amplitude is less than 1.