Relations And F...

Determine the domain of the following relation.

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

Which of the following functions is an even function?

If R is a relation from a non-empty set A to a non-empty set B, then

The domain of the real function – 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).

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

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

The range of , where x 0, is

The range of the function f(x) = cot^-1 (e^x + e^-x) is

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

The range of the function f(x) = is

Let A = {–2, –1, 0, 1, 2} and f : A Z be given by f(x) = x² – 2x – 3. Then the range of f is

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

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

Let A = {1, 2, 3}. The total number of distinct relations which can be defined over A is

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

2f(x) = |2x - 1| + |3x - 2| + |2 - x|

Find the range of the function given above.

Find the domain of the function .

What is the value of x which is not in the domain of the function ?

2A relation R is defined as: . Find the domain of the relation.