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What are the period and amplitude of the function?
A) period 3, amplitude 1.5
B) period 3, amplitude 3
C) period 4, amplitude 1.5
D) period 4, amplitude 3

What are the period and amplitude of the function A period 3 amplitude 15 B period 3 amplitude 3 C period 4 amplitude 15 D period 4 amplitude 3 class=

Respuesta :

period 3, amplitude 1.5

Answer:

Option: A is the correct answer.

      A)  Period: 3 , amplitude : 1.5

Step-by-step explanation:

We know that Period of a function is the smallest value such that the function repeats after a fixed time.

and also the amplitude of the function is the height above or below the mid-line.

After looking at the graph we see that the period of the function is: 3

Since the function is repeating itself after every x=3.

Also, the mid-line of the function is: y= -0.5.

Hence, the height above the mid-line is: 1+0.5 = 1.5

        Hence, amplitude= 1.5