已知函数y=f(x)是偶函数,y=f(x-2)在[0,2]上是单调减函数,则( )
A. f(0)<f(-1)<f(2)
B. f(-1)<f(0)<f(2)
C. f(-1)<f(2)<f(0)
D. f(2)<f(-1)<f(0)
人气:357 ℃ 时间:2020-04-16 13:38:32
解答
由y=f(x-2)在[0,2]上单调递减,
∴y=f(x)在[-2,0]上单调递减.
∵y=f(x)是偶函数,
∴y=f(x)在[0,2]上单调递增.
又f(-1)=f(1)
故选A.
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