y=x^2-2x (x≥0) -x^2-2x(x
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y=x^2-2x (x≥0) -x^2-2x(x
y=x^2-2x (x≥0) -x^2-2x(x
y=x^2-2x (x≥0) -x^2-2x(x
x≥0
y=x²-2x=(x-1)²-1
则x=1,最小是-1
所以此时y≥-1
x
y=x^2-2x ; x≥0
= -x^2-2x ; x<0
case 1: for x≥0
y=x^2-2x
=(x-1)^2 -1
min y = -1
[-1, +∞)
case 2: x<0
y =-x^2-2x
=-(x+1)^2 +1
max y =1
(-∞, 1]
值域 = (-∞, 1] or [-1, +∞)
=(-∞,+∞)
分类讨论:x>0时,x=1时y最小,此时y=-1所以y>=-1。x小于等于0时,x=-1时y最大,此时y=1,所以y小于等于1。终上所述,y属于R
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