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 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 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 :

Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E to F, is ______.

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.

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.

If f(x) = ax^(2) + bx + x and f(2) = 1, f(3) = 6, f(-1) = 10, then find the value of f'(1).

Let f: X to Y be a function. Define a relation R in X given by R = {(a,b):f (a) =f (b)}. Examine whether R is an equivalence relation or not.

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, -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-