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 $\alpha\;and\;\beta.$

Question

$\begin{array}{1 1} \alpha =1 \qquad \beta =-1 \\ \alpha =2 \qquad \beta =-1 \\ \alpha =2 \qquad \beta =-2 \\ \alpha =-1 \qquad \beta =-1 \end{array} $