he graph of a periodic function is given below 05 45 55 65 a

he graph of a periodic function is given below. 0.5 45 5.5 6.5 a. What is the period of this function? Preview b. What is the minimum value of this function? Preview c. What is the maximum value of this function? Preview d. What is the midline of this function?

Solution

1) period of the function is

5pi/8 - pi/8 = pi/2

2) minimum value of the function is -4

3) maximum value of the function is -1

4) midline of the function is y = -2.5

5) amplitude of the function is 4-1 / 2 = 1.5

6) g(a) = 1.5 sin ( 4a ) - 2.5