初等函数值域的若干求法

Several Methods for the Value Domain of Elementary Functions

函数的值域是由全体函数值所构成的集合,它取决于函数的定义域和对应法则.求函数的值域涉h及各I种数学思想方法和代数式的变形技巧.本文主要介绍了基本初等函数法、分离常数法、基本不等式法、配方法、单调性法、判别式法、换元法、反解法、导数法和图像法等常见的求初等函数值域的方法.0俇?(

The range of a function is a set of all its values,which depends on its definition and corresponding rules.The range of a function involves various mathematical methods and algebraic deformations.This paper mainly introduces the basic elementary function method,separation constant method,basic inequality method,formula method,monotonicity method,discriminant method,substitution method,inverse method,derivative method and image method and other common methods for finding the range of elementary functions.