what is the period of the function f(x) shown in the graph? enter your answer in the box.

Explanation:

Step1: Identify period - definition

The period of a periodic function is the horizontal distance between two consecutive, identical points on the graph.

Step2: Locate consecutive identical points

We can see that the function repeats itself from (x =-\frac{\pi}{2}) to (x=\frac{3\pi}{2}).

Step3: Calculate the period

The period (T=\frac{3\pi}{2}-(-\frac{\pi}{2})=\frac{3\pi + \pi}{2}=2\pi).

Answer:

(2\pi)