Is \( g=\{(1,1),(2,3),(3,5),(4,7)\} \) a function? If \( g \) is de...

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Is \( g=\{(1,1),(2,3),(3,5),(4,7)\} \) a function? If \( g \) is described by \( g(x)=\alpha x+\beta \), then what value should be assigned to \( \alpha \) and \( \beta \).
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