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判断分段函数的奇偶性要分段进行判断,整体考虑.就是在分段函数的定义域内根据函数奇偶性的定义分别考虑各个分段上函数f(-x)与f(x)的关系,判断各个分段上函数的奇偶性,然后综合在一起判断分段函数的奇偶性.如果在分段函数的定义域内各个分段上的函数都是奇函数或偶函数,那么这个分段函数就是奇函数或偶函数,否则,这个分段函数
Judging the parity of the piecewise function to be judged by segment, the overall consideration is to consider the relationship between the function f (-x) and f (x) in each segment separately according to the definition of function parity in the domain of piecewise function, Judge the function of the various segments of the parity, and then combined together to determine the parity of the piecewise function.If in the definition of the piecewise function of the various segments of the function are odd or even function, then the piecewise function is Odd function or even function, otherwise, this piecewise function