下列有关物质的归类错误的是（　　）

设函数f（x）=|f₁（x）﹣f₂（x）|，其中幂函数f₁（x）的图象过点（2，$\sqrt{2}$），且函数f₂（x）=ax+b（a，b∈R）．

（1）当a=0，b=1时，写出函数f（x）的单调区间；

（2）设μ为常数，a为关于x的偶函数y=log₄（$\frac{1}{2}$）^x+μ•2^x（x∈R）的最小值，函数f（x）在0，4上的最大值为u（b），求函数u（b）的最小值；

（3）若对于任意x∈0，1，均有|f₂（x）|≤1，求代数式（a+1）（b+1）的取值范围．

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