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题目函数y=x+(x2-3x+2)~(1/2)的值域为.函数值域的求法是高中函数教学中的重点,同时也是难点,其常用方法有:观察法、反函数法、分离常数法、配方法、换元法、判别式法、不等式法、单调性法、求导法、函数的有界性法、数形结合法等等.这道题主要考查无理函数值域的求法,而无理函数值域的常用求法有:单调性法、反函数法、配方法、换元法、求导法、数形结合法、构造解析几何模型法等。首先来探究一下本题的解决方法,
The range of the title function y = x + (x2-3x + 2) ~ (1/2) is. The calculation of the functional range is the key and difficult point in the teaching of high school functions. The commonly used methods are observation, inverse function Law, separation of constant method, with the method, the method for the yuan, discriminant method, inequality method, monotonous method, seeking guide method, the function of the bounded method, the number of combination method, etc. This question mainly to investigate the irrational function value Domain method, and the common method of irrational function range are as follows: monotonicity method, inverse function method, matching method, substitution method, derivation method, numerical combination method, constructing analytic geometric model method and so on. First of all, to explore the solution to this problem,