定义在R上的偶函数在[0,7]上是增函数,在[7,+∞)上是减函数

定义在R上的偶函数在[0,7]上是增函数,在[7,+∞)上是减函数,又f(7)=6,则f(x)(    )

A.在[-7,0]上是增函数,且最大值是6      

B.在[-7,0]上是减函数,且最大值是6

C.在[-7,0]上是增函数,且最小值是6      

D.在[-7,0]上是减函数,且最小值是6

答案

思路解析:f(x)是偶函数,得f(x)关于y轴对称,如下图,则f(x)在[-7,0]上是减函数,且最大值为6.

答案:B

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