Show that the Modulus Function `f : R->R ,`given by `f (x) = | x |`, is neither one-one nor onto, where `| x |`is x, if x is positive or 0 and `| x |`is ` x`, if x is negative.

Explanation

To show that the modulus function \( f : \mathbb{R} \to \mathbb{R} \) defined by \( f(x) = |x| \) is neither one-one nor onto, we will analyze the properties of the function step by step.

### Step 1: Definition of the Modulus Function
The modulus function is defined as follows:
- \( f(x) = x \) if \( x \geq 0 \)
- \( f(x) = -x \) if \( x < 0 \)

### Step 2: Check if the Function is One-One
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