集合C={f(x)|f(x)是在其定义域上的单调增函数或单调减函数},集合D={f(x)|f(x)在定义域内存在区间[a,b],使得f(x)在a,b上的值域是[ka,kb],k为常数}.
(1)当k=
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时,判断函数f(x)=
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是否属于集合C∩D?并说明理由.若是,则求出区间[a,b];
(2)当k=
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0时,若函数f(x)=
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+t∈C∩D,求实数t的取值范围;
(3)当k=1时,是否存在实数m,当a+b≤2时,使函数f(x)=x
2-2x+m∈D,若存在,求出m的范围,若不存在,说明理由.
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