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初等函数的值域,是中学数学中的一项重要的基础知识。建立一个函数的反函数,函数的有界性的讨论,解析几何里确定方程的曲线的范围等数学问题,都与函数的值域密切相关。下面介绍几种求函数值域的方法,并举例说明。一、观察法对于一些比较简单的函数,根据函数表达式的特征和函数的基本性质,用观察法容易求出其值域。例如:
The range of elementary functions is an important basic knowledge in high school mathematics. The establishment of a function of the inverse function, the discussion of the function of the bounded, analytical geometry to determine the range of equations and other mathematical problems, are closely related with the value range of the function. The following describes several ways to find the value range, and an example. First, the observation method For some relatively simple functions, based on the characteristics of the function expression and the basic nature of the function, easy to find its value by observation. E.g: