Q8 Let f = {(1,1), (2,3), (0,–1), (–1, –3)} be a function from Z to Z defined by
f(x) = ax + b, for some integers a, b. Determine a, b.
It is given that
And
Now,
At x = 1 ,
Similarly,
At ,
Now, put this value of b in equation (i)
we will get,
Therefore, values of a and b are 2 and -1 respectively