函数的连续性是函数的重要性质,常量函数、幂函数、指数函数、对数函数、三角函数、反三角函数以及由它们经过有限次四则运算与复合运算所得到的函数都是连续函数.连续函数具有下面两条重要性质定理:最值定理假设f(x)是[a,b]上的连续函数,于是存在c,d属于[a,b],满足f(c)≤f(x) The continuity of a function is an important property of a function. The functions of a constant function, an exponential function, an exponential function, a logarithmic function, a trigonometric function, an inverse trigonometrical function, and a finite four-time operation and a compound operation thereof are continuous functions. The function has the following two important property theorems: The maximum value theorem assumes that f (x) is a continuous function on [a, b], so that c and d belong to [a, b]