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数学
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求函数y=
−
x
2
+4x+5
的单调递增区间.
人气:177 ℃ 时间:2019-09-23 04:38:18
解答
设t=-x2+4x+5,由t=-x2+4x+5≥0,得x2-4x-5≤0,即-1≤x≤5,则函数t=-x2+4x+5的对称轴为x=2,∴当-1≤x≤2时,t=-x2+4x+5单调递增,此时y=t也单调递增,∴由复合函数单调性的性质可知函数y=−x2+4x+5此时单调递增,...
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