The graph of a periodic function is given below. - Define a function to represent the behavior of the graphed function. 3.S 2.5 1.5 2.3 304 2 U4 0.5 angle measure in radians angte measure tn radians 1.5 -2.S -3 3.5 Solution Amplitude = 3/2 = 1.5 midline = 1.5 period = 3pi/4 - (-pi/4) = pi B = 2pi/period= 2pi/pi = 2 Lets represent it by sine function: y = 1.5 +1.5sin(2x).

1. The graph of a periodic function is given below.
- Define a function to represent the behavior of the graphed function. 3.S 2.5 1.5 2.3 304 2 U4
0.5 angle measure in radians angte measure tn radians 1.5 -2.S -3 3.5
Solution
Amplitude = 3/2 = 1.5
midline = 1.5
period = 3pi/4 - (-pi/4) = pi
B = 2pi/period= 2pi/pi = 2
Lets represent it by sine function:
y = 1.5 +1.5sin(2x)