闭区间连续函数介值性质的推广

A Generalization of Closed Interval Continuous Function Intermediate Value Theorem

由于闭区间连续函数介值性质成立与区间有关,不仅要求中间值被取到,而且要求相应的自变量的值在所论的区间内.因此,通过对区间的推广,得到函数介值性质成立的充分必要条件.

Closed interval continuous function intermediate value theorem connects with tee interval. It not only requres that the intermediate value is got, but also requires that the relavant argument values are in the interval to be talked about. Therefore, through the means of the generalization to the interval, we obtain the sufficient necessary condition of which function intermediate value theorem are true.