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如果对于自变量x在定义域上的不同范围内的值,函数y有不同的解析式与之对应,这样的函数便可称为分段式函数.产生分段式函数的原因,除了题目中人为地设定以外,还有可能是因代数式变形(如去绝对值符号等)或是由实际问题而引起.对于后两种情况,要准确无误地写出函数解析式和它们对应的区间.在求自变量或函数值时,要看准两者之间的对应关系,切不可张冠李戴,必要时要作出反映函数全貌的图象,从而对所讨论的函数有一个整体、全面的认识.
If the value of the variable x is in a different range on the defined domain, the function y has a different analytical formula to correspond to it. Such a function can be called a piecewise function. The reason for generating a piecewise function, in addition to the problem Artificially set, it may be due to algebraic deformation (such as going to absolute symbols, etc.) or caused by actual problems. For the latter two cases, it is necessary to write the function analytical formulas and their corresponding intervals without errors. When looking for independent variables or function values, we must look for the corresponding relationship between the two, must not be Zhang Guanli Dai, if necessary, to make an image that reflects the entire function of the function, so as to have an overall and comprehensive understanding of the function in question.