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[函数] 一道函数不等式的小题

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敬畏数学 posted 2016-12-20 20:39 |Read mode
函数y=f(x)定义域为R,当x>=0时,y=x(1+mx),当x<0时,y=x(1-mx),关于x的不等式f(x)>f(x+m)的解集为M,且[-1,1]为M的子集,求m的范围——————?

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realnumber posted 2016-12-21 21:29
回复 1# 敬畏数学

奇函数,就m>0,m=0,m<0分类下,大概能解决吧
比如m>0为增函数,所以不合要求
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