Consider the function \( f(x)=\max .\{1,|x-1|, \min \{4,|3 x-1|\}\} \quad \forall x \in R \) The...

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Consider the function \( f(x)=\max .\{1,|x-1|, \min \{4,|3 x-1|\}\} \quad \forall x \in R \) Then find the value of \( f(3) \).
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