Question

已知f(x)是奇函数,且当x>0时,f(x)=x|x-2|,求x<0时,f(x)的解析式

Answer 1

x<0
则-x>0
所以f(-x)适用f(x)=x|x-2|
f(-x)=-x|-x-2|=-x|x+2|
奇函数f(x)=-f(-x)
所以x<0
f(x)=x|x+2|

Answer 2

Because of the heavy rain, the country may have a big problem

Answer 3

x>0时f（x）=x|x+2|