Write the function in explicit piecewise form for:

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Write the function f(x)=∣x+1∣−∣x−1∣f(x)=|x+1|-|x-1| in explicit piecewise form for: (i) x<−1x<-1, (ii) −1≤x≤1-1\le x\le 1, and (iii) x>1x>1.

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