中文摘要：

目前,高等数学教材中都没有介绍开区间或者半开半闭区间、无穷区间上连续函数的最值或者有有限个间断点的函数的最值问题。文章给出了开区间（a,b）或半开半闭区间（a,b]或[a,b）上连续函数的最值,同时给出了无限区间（（-∞,＋∞）,（-∞,a）,（-∞,a],[b,＋∞）,（b,＋∞））上连续函数的最值以及有有限个间断点的函数最值的求法。

英文摘要：

All kinds of Higher Vocational Maths teaching materials are not introduced the most value problem in the open interval or a half open interval on the infinite interval of continuous function or the most value problem with finite discontinuity points of the function. The article gives a method of solving the most value of the open interval or half closed the value of continuous functions on the interval, the most valued continuous function on infinite interval,and the function of finite discontinuity points most value question.