求y=(1/2)^(-x^2+2x)的值域,单调区间
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求y=(1/2)^(-x^2+2x)的值域,单调区间
求y=(1/2)^(-x^2+2x)的值域,单调区间
求y=(1/2)^(-x^2+2x)的值域,单调区间
-x^2+2x=-(x-1)^2+1∈(-∞,1]
故(1/2)^(-x^2+2x)∈[1/2,+∞)
单调增区间为(1,+∞)
单调减区间为(-∞,1)
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