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

Let f={(1,1),(2,3),(0,-1),(-1,-3)} be a linear function f(x)=mx+c from Z into Z.Find the value of m and c.

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.

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,

Let f={(1,1), (2,3), (3,5), (4,7)} be a function from Z into Z defined by f(x) = ax + b, for some integers a & b. Determine a & b.

Let A = {1,2,3},B ={4,5,6,7} and let f = {(1,4), (2,5), (3,6)} be function from A to B. Show that f is one-one.

Let A={1, ,2, 3} and B={-2, -1, 0, 1, 2,3} . The probability of increasing functions from A to b, is

Let f:(-1,1)toR be a differentiable function with f(0)=-1 and f'(0)=1 . Let g(x)=[f(2f(x)+2)]^(2) . Then g'(0)=

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 S = {1,2,3}. Determine whether the functions f : S to S defined as below have inverses. Find f ^(-1), if it exists. (a) f = {(1,1), (2,2), (3,3)} (b) f = {(1,2), (2,1),(3,1)} (c ) f { (1,3), (2,3),(2,1)}