An even periodic function `f:R to R ` with period 4 is such that
`f(x)={{:(max.(|x|, x^(2))",",, 0lex lt1), (x",",,1le xle 2):}`. Then draw the graph of `y= f(x)` for `x in R`

Explanation

To solve the problem, we need to analyze the given function and then sketch its graph. Let's break down the steps:

### Step 1: Understand the Function Definition
The function \( f(x) \) is defined piecewise as:
- For \( 0 \leq x < 1 \): \( f(x) = \max(|x|, x^2) \)
- For \( 1 \leq x \leq 2 \): \( f(x) = x \)

### Step 2: Analyze the Function for \( 0 \leq x < 1 \)
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