目的 分析连续函数的最值函数关于取值区间的依赖性质.方法 利用分析方法对最值函数的连续性、单调性、可导性进行探讨.结果与结论连续函数的最值函数具有连续性,但对于无单调性连续函数,其最值函数可导性无确定结论。
Objective--To analyze the properties and the dependence of the maximum and minimumfunctions on the interval of definition. Methods--The continuity, monotonicity and differentiability ofthe maximum and minimum functions are investigated with analytical method. Results and Conclu-sion-The maximum and minimum functions discussed herein are continuously dependent on their in-terval of definition, however, the differentiability of the kinds of functions is uncertain.