Draw the graph of the function

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

Problem

Draw the graph of the function f(x)=x−∣x−x2∣f(x) = x - |x - x^2|, −1≤x≤1-1 \le x \le 1 and discuss the continuity or discontinuity of ff in the interval −1<x<1-1 < x < 1.

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