Sets, Relations...

If  then

The interval in which the values of f (x) lie where f (x) = 3 sin  

The range of the function  

If f(x) =  is equal to

If  is equal to

Which of the following functions is not one-one ?

If f (x)  then f (1) is equal to

The domain of the real-valued function  

A condition for a function y = f (x) to have an inverse is that it should be

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is

The range of the function  

On the set Z of all integers define f ; Z  → Z as follows : f (x) = {x/2  if x is even, and f (x) = 0 if x is odd , then f is

Let f : R  → R be defined by f (x) = 3x –4, then f^-1 (x) is equal to

The number of bijective functions from the set A to itself when A constrains 106 elements is

In the set W of whole numbers an equivalence relation R defined as follow : aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by