what is the period of the function $f(x)$ shown in the graph? enter your answer in the box.
what is the period of the function $f(x)$ shown in the graph? enter your answer in the box.
Answer
Explanation:
Step1: Recall period definition
The period of a periodic - function is the horizontal distance between two consecutive repeating points.
Step2: Identify repeating points
On the graph, we can see that the function repeats itself from (x =-\frac{\pi}{2}) to (x=\frac{\pi}{2}).
Step3: Calculate the period
The period (T=\frac{\pi}{2}-(-\frac{\pi}{2})=\pi).
Answer:
(\pi)