函数的单调性和奇偶性是函数的两个重 要性质,本文拟通过对十个命题的辨析来进一 步加深对它们的认识. 【命题1】一般的偶函数不存在反函数. [辨析]正确.如偶函数y=x2(x∈R)就 不存在反函数,因它不是一一映射所确定的函 数,但点函数f(x)=0(x=0)存在反函数. 【命题2】奇函数一定存在反函数. [辨析]错误.如函数是 The monotonicity and parity of the function are two important properties of the function. This article intends to further deepen their understanding of the ten propositions. [Proposition 1] The general even function does not have an inverse function. [Discrimination] is correct. If the even function y=x2(x∈R) does not have an inverse function, because it is not a function determined by one mapping, there is an inverse function of the point function f(x)=0 (x=0). [Proposition 2] There must be an inverse function of the odd function. [Differential] error. If the function is