Relations and F...

Which of the following relations is a function?

Let x be any real, then [x + y] = [x] + [y] holds for

Let f(x) =  then (fofof) (x) equals to

If f (x) =√−x, then domain of fof is

The range of the function f(x) = -  is equal to

If f(x)=|x|x;x≠0; then f (x) – f (- x)  is equal to

The domain of the function f = {(1, 3), (3, 5), (2, 6)} is

Determine the domain of the following relation.

^{_{R = {(a, b):a a < 5, b = 4}}}

If a set A has n distinct elements, then the number of relations on A is

If f(x) = e^x, which of the following is true?

A and B are two sets having 3 and 4 elements respectively and having 2 elements in common. The number of relations, which can be defined from A to B, is

If f(x + y) = f(x) + f(y) and f(1) + f(2) + f(3) + ……. + f(10) = 1, find the value of f(1).

Which of the following functions is an even function?

The range of , where x 0, is

If f(x) = , then f(1994) is

^{_{The range of the function  is}}  

The relation R defined on set A = {1, 2, 3, 4, 5} by R = {(x, y) : |x² – y²| < 16} is given by

Let A = {1, 2, 3}. The total no. of distinct relations which can be defined over A is

The function f (x) = x + cos x

The domain of the real function  –  is

The range of the function f(x) = |x - 1| is

If f(x) = x² - 3x + 1 and f(2α) = 2f(α), then α is equal to

The diagram given below shows that

The number of relations that can be defined on set A = {a, b, c, d} is