Dealing with absolutes

Algebra Level 2

Let \( f(x) = |x| - |x-1| \)

Let \(A\) be the maximum value of \( f(x) \) and \(B\) be the minimum value of \( f(x) \).

Find \(A - B\).

Notation: \( | \cdot | \) denotes the absolute value function.

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