If g={(1,1),(2,3),(3,5),(4,7),}  is a function described by the formula:g(x)=αx+β  then what values should be assigned to α andβ ?

(1, 1) satisfies g(x)=αx+β      ∴α+β=1 (2, 3) satisfies g(x)=αx+β       ∴ 2α+β=3 Solving the two equation, we get α=2,β=−1 It can be checked that other ordered pairs satisfy g(x)=2x−1