作业帮函数y=根号下(-x^2-6X-5)的值域为?A.[0,2]B.[0,4]C.[-无穷,4]D.[0,+无穷]
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 15:27:39
![函数y=根号下(-x^2-6X-5)的值域为?A.[0,2]B.[0,4]C.[-无穷,4]D.[0,+无穷]](/uploads/image/z/2113624-64-4.jpg?t=%E5%87%BD%E6%95%B0y%3D%E6%A0%B9%E5%8F%B7%E4%B8%8B%28-x%5E2-6X-5%29%E7%9A%84%E5%80%BC%E5%9F%9F%E4%B8%BA%3FA.%5B0%2C2%5DB.%5B0%2C4%5DC.%5B-%E6%97%A0%E7%A9%B7%2C4%5DD.%5B0%2C%2B%E6%97%A0%E7%A9%B7%5D)
函数y=根号下(-x^2-6X-5)的值域为?A.[0,2]B.[0,4]C.[-无穷,4]D.[0,+无穷]
函数y=根号下(-x^2-6X-5)的值域为?
A.[0,2]
B.[0,4]
C.[-无穷,4]
D.[0,+无穷]
函数y=根号下(-x^2-6X-5)的值域为?A.[0,2]B.[0,4]C.[-无穷,4]D.[0,+无穷]
-x²-6x-5
=-(x²+6x+9-9)-5
=-(x+3)²+9-5
=-(x+3)²+4<=4
且根号下大于等于0
0<=-(x+3)²+4<=4
所以0<=√(-x²-6x-5)<=2
值域[0,2]
A
希望帮忙 国庆节愉快
D