Let f be the subset of `Z xx Z` defined by `f={(ab,a+b) : a,b in Z}`. Is f a function from Z to Z? Justify your answer.

Let f be a subset of Z xx Z defined by f ={ (ab ,a+b) : a,b in Z } is f a function from z to Z ? Jusity your answer

Is W subset of N or Z?

Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an integer"). Find the domain and range of R.

Let f={(-1, 3}, (0, -1), (2, -9)} be linear function from Z into Z. Find f(x).

Let Z be the set of all integers and R be the relation on Z defined as R={(a , b); a ,\ b\ in Z , and (a-b) is divisible by 5.} . Prove that R is an equivalence relation.

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

Let Z denote the set of all integers and A = { (a,b) : a^2 +3b^2 = 28 ,a,b in Z } and B= {(a,b ):a gt b, in Z} . Then the number of elements in A nn B is

Given f(x) = (-1)^(x) is a function from N to Z. then the range of f is ............ .

Define ** on Z by a ** b=a+b +1 AA a, b in Z . Then the identity element of z is