若函數(shù)fx在(-4,0)上單調(diào)遞增,且函數(shù)y=f(x-4)是偶函數(shù),試比較f(-1),f(-5),f(-6)的大小
若函數(shù)fx在(-4,0)上單調(diào)遞增,且函數(shù)y=f(x-4)是偶函數(shù),試比較f(-1),f(-5),f(-6)的大小
數(shù)學人氣:593 ℃時間:2020-06-22 16:13:08
優(yōu)質(zhì)解答
f(x-4)=f(-x-4)
f(-5)=f(-1-4)=f(1-4)=f(-3)
f(-6)=f(-2-4)=f(2-4)=f(-2)
因為fx在(-4,0)上單調(diào)遞增
所以f(-3)即f(-5)