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.

Given,

   

What’s more, the capacity characterized as, f(x) = hatchet + b

For

   

We have,

   

Along these lines,

   

   

What’s more, for

   

We have

   

   

   

On subbing

   

in (I), we get

   

Along these lines, the upsides of an and b are 2 and – 1 individually.