The graph of a periodic function is given below Define a fu

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)