Question
What is the range of the function $\text{f(x)}=\frac{|\text{x}-1|}{\text{x}-1}?$

Answer

$\text{f(x)}=\frac{|\text{x}-1|}{\text{x}-1}=\frac{\pm(\text{x}-1)}{\text{x}-1}=\pm1$

Range of f = {-1, 1}

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