Let A={-1, 0, 1} and B = {1, 2, 3, 4}. If f is the rule associating elements of A to elements of B, such that f(-1) = 2, f(0) = 1 and f(1) = 4. Does f define a mapping?

Let A = {1, 2, 3, 4} and B ={3, 6, 9}. If f is the rule associating elements of A to elements of B, such that f(1) = 3, f(3) = 6, f(4) = 3. Examine whether f defines a mapping or not.

Let X = {1, 3, 5, 7} and Y={2, 4, 6, 8}. If f be the rule associating elements of X to elements of Y, such that f(1) = 4, f(3) = 2, f(5) = 8, f(3) = 6, f(7) = 4. State whether f defines a function of X into Y or not.

Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, f(3) =9 then :

If f(x) is a quadratic function and f(2) = 1, f(3) = 6 and f(-1) = 10, find f(x) and show that, f(1) = 0.

Let A ={3,6,9,12} and B={1,2,3,4} . If f: A rarrB be defined by f(x)=(x)/(3), find f and f^(-1) as sets of ordered pairs.

If f(0) = 1, f(l) = 4, f(2) = 10, then the value of Delta^2 f(0) is

Let A = {-1,0,1,2,} B= {1,1,2,3,-3} and f: A rarr B be the mapping defined by , f(x)=2x-1 , for all x in A .Then f will be ___

Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find the range of f.

If f(x)=ax^(2)+bx+c and f(0) = 2, f(1) = 1, f(4) = 6, then find the valuse of a, b and c.

Let A ={-3, -2, -1, 0,1,2} and ZZ be the set of integers. If f: A to ZZ be defined by f(x)=x^(2) -10, then the range of f is-