已知y=x2+2(a-2)x+5在(4,+∞)上是增函数,则实数a的范围是( )
A. a≤-2
B. a≥-2
C. a≤-6
D. a≥-6
人气:201 ℃ 时间:2020-06-04 04:31:43
解答
因为开口向上的二次函数在对称轴右边递增,左边递减;
而其对称轴为x=2-a,又在(4,+∞)上是增函数
故须2-a≤4,
∴a≥-2,
故选B.
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