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Piecewise function with three defined intervals and corresponding calculations for x values.

A piecewise function graph showing three sections: f(x) = -2^x for x < -2, f(x) = -|x| for -2 ≤ x ≤ 0, and f(x) = 2 - x^2 for x > 0, with tables of values and open dots indicating discontinuities.

A piecewise function graph showing three sections: f(x) = -2^x for x < -2, f(x) = -|x| for -2 ≤ x ≤ 0, and f(x) = 2 - x^2 for x > 0, with tables of values and open dots indicating discontinuities.

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