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116问答网 > 单调区间能不能并?举个例子说明= = 通俗点!

单调区间能不能并?举个例子说明= = 通俗点!

2025-04-07 13:01:49

推荐回答（1个）

回答1：

不能,首先我们判断函数单调性的方法是在该区间内任意取X1＜X2,然后比较函数值大小,确定单调性,区间不同就不能并起来...举个最简单的例子: 双曲线y=x/2
负无穷到零是单调递减,零到正无穷也是单调递减, 假如你在左边区间取一个X1,在右边区间取一个X2,则函数值肯定是右边大于左边... 不符合单调性定义... 所以不能是两个分开的区间哦.不可以取并集.
并集的含义是指在这整个范围内都要满足单调性的定义... 望采纳

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