Is the function `f(x)=absx` one on one?

Explanation

To determine whether the function \( f(x) = |x| \) is one-to-one, we need to analyze the definition of a one-to-one function. A function is considered one-to-one if every value of \( y \) corresponds to exactly one value of \( x \). In other words, if \( f(a) = f(b) \), then it must follow that \( a = b \).

### Step-by-Step Solution:

1. **Understanding the Function**:
The function \( f(x) = |x| \) gives the absolute value of \( x \). This means that for any positive value of \( x \), the output is \( x \), and for any negative value of \( x \), the output is \( -x \).

2. **Finding Values**:
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