Let f= {(1, 1),(2, 3),(0, -1).(-1,-3)} be a linear function from Z to Z, find f(x).

Let f= {(1, 1),(2, 3),(0, -1).(-1,-3)} be a linear function from Z to

1.	Let f= {(1, 1),(2, 3),(0, -1).(-1,-3)} be a linear function from Z to Z, find f(x).
Answer» f(x)=y=ax+b. _(1)On taking (1,1) and putting it in y=ax+b ,then1=a×1+ba+b=1. - (2)Now taking (0,-1)and putting it in y=ax+b,then-1=a×0+bb=-1Putting the value of b in equation (2),thena+(-1)=1a-1=1a=1+1a=2