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When x ≥ 0 y=(2x/x^2+1)-2 =2/(x+1/x)-2 ≤2/2-2 =-1 When x ≤ 0 y=(2x/x^2+1)-2 =2/(x+1/x)-2 ≥-2/2-2 =-3 So the range is [- 3, - 1]
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