State the amplitude and period of the function defined by the equation.
A)amplitude = 1.5 p , period = -2
B)amplitude = 2, period = 0.375 p
C)amplitude = 2, period = 1.5 p
D)amplitude = -2, period = 0.75 p
E)amplitude = 2 p , period = 1.5

Question

State the amplitude and period of the function defined by the equation. 
A)amplitude = 1.5 p , period = -2 
B)amplitude = 2, period = 0.375 p 
C)amplitude = 2, period = 1.5 p 
D)amplitude = -2, period = 0.75 p 
E)amplitude = 2 p , period = 1.5

Quizplus · Accepted Answer

Amplitude is the distance from the peak (or trough) of the wave to the middle line. Looking at the graph of the function, we can see that the amplitude is 2.

Period is the length of one complete cycle of the wave. From the graph, we can see that the length of one complete cycle is 1.5 units. Therefore, the period is 1.5π.

Choice C has an amplitude of 2 and a period of 1.5π, which matches our calculations.

State the Amplitude and Period of the Function Defined by the Equation