What the period of this function b What is the minimum value

What the period of this function? b. What is the minimum value of this function c. What is the maximum value of this function. d. What is the midline of this function? e. What is the amplitude of this function? f. Define a function, g, to represent the behavior of the graphed function.

Solution

a) Period = 5pi/2 - (-pi/2) = 3pi

b) minimum value of function = -5

c) maximum value of function = 0

d) d +a = 0

d -a = -5

----------- d = -2.5

a = 2.5

So, midline : y = -5/2 = -2.5

e) amplitude : a = 2.5