f(x)在(-2,0)上是减函数,y=f(x-2)为偶函数
比较f(-10/3), f(-7/3), f(-4/3)
參考答案:由于y=f(x-2)为偶函数为偶函数,则有:
y=f(x-2)=f(-x-2)
于是f(-10/3)=f(-4/3-2)=f(4/3-2)=f(-2/3)
f(-7/3)=f(-1/3-2)=f(1/3-2)=f(-5/3)
f(-4/3)= f(-4/3),
又由于f(x)是(-2,0)上的减函数,
则有
f(-2/3)<f(-4/3)<f(-5/3)
即f(-10/3)<f(-7/3)< f(-4/3)
关键在于把所给的数字转换到所给的单调递减的区域内,即(-2,0)内