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【简答题】
对定义在区间D上的函数f（x），若存在闭区间[a，b]?D和常数C，使得对任意的x∈[a，b]f（x）=C，且对任意的x?[a，b]f（x）＞C恒成立，则称函数f（x）为区间D上的“U型”函数． （1）求证函数f（x）=|x-1|+|x-3|是R上的“U型”函数； （2）设函数f（x）是（1）中的“U型”函数，若不等式|t-1|+|t-2|≤f（x）对一切t∈R恒成立，求实数t的取值范围． （3）若函数g（x）=mx+ x 2 +2x+n 是区间[-2，+∞）上的“U型”函数，求实数m和n的值．
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