函数y=根号下(-x^2-6x-5)的值域为
人气:175 ℃ 时间:2019-08-20 21:58:19
解答
要使函数有意义
则-x²-6x-5≥0
即x²+6x+5≤0
(x+1)(x+5)≤0
解得-5≤x≤-1
又∵-x^2-6x-5
=-(x²+6x+9-9)-5
=-(x+3)²+4
≤4
即y≤√4=2
当x=-5或x=-1时,y=0
则函数值域为:[0,2]
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