Let \( f=\{(1,1),(2,3),(0,-1),(-1,-3)\} \) be a function from \( \m...

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Let \( f=\{(1,1),(2,3),(0,-1),(-1,-3)\} \) be a function from \( \mathbf{Z} \) to \( \mathbf{Z} \) defined by \( f(x)=a x+b \), for some integers \( a, b \). Determine \( a, b \).
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