f(x)=|2x+1|-|2x-1|
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f(x)=|2x+1|-|2x-1|
![f(x)=|2x+1|-|2x-1|](/uploads/image/z/7383384-0-4.jpg?t=f%28x%29%3D%7C2x%2B1%7C-%7C2x-1%7C)
定义域R关于原点对称
f(-x) = |-2x+1| - | -2x - 1 |
= | - (2x-1) | - | - (2x+1) |
= | 2x-1 | - | 2x+1 |
= - f(x)
所以 f(x) 是奇函数
f(-x) = |-2x+1| - | -2x - 1 |
= | - (2x-1) | - | - (2x+1) |
= | 2x-1 | - | 2x+1 |
= - f(x)
所以 f(x) 是奇函数
f(x)=x/(x^2+1)
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