函数y=根号-x^2+2x+3的单调递减区间是

2025-12-16 20:20:18
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回答1:

解由-x^2+2x+3≥0即x^2-2x-3≤0即(x-3)(x+1)≤0解得-1≤x≤3故函数的定义域为[-1,3]又由y=√-x^2+2x+3=√-(x-1)^2+4故内函数U=-(x-1)^2+4在[-1,1]是增函数,在[1,3]是减函数而y=√U是增函数故函数y=根号-x^2+2x+3的单...