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

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

a - base

b - exponent

so,