The range of the absolute value of y = x multiplied by 2 minus x?

y=x×|2-x|
When x ≥ 2, y = x & # 178; - 2x ≥ 0, that is, the range is [0, + ∞)
When 2 ＞ x ≥ 1, 0 ＜ y ≤ 1, that is, the range is (0,1]
When x ＜ 1, y = 2x-x & # 178; < 1, that is, the range is (- ∞, 1)

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