Draw the graph of ` f(x) = {{:(x-2n,""2n le xlt 2n +1), "" (1/2,""2n+1 le x lt 2n+2):}`
periodic? If yes, what is its period?

Explanation

To solve the problem of determining if the function \( f(x) \) is periodic and finding its period, we will follow these steps:

### Step 1: Understand the function definition
The function \( f(x) \) is defined piecewise as follows:
- \( f(x) = x - 2n \) for \( 2n \leq x < 2n + 1 \)
- \( f(x) = \frac{1}{2} \) for \( 2n + 1 \leq x < 2n + 2 \)

Where \( n \) is an integer.
...