Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the range.

Is relation from set A to set B is always equal to relation from set B to set A.

Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the codomain.

If set A has 2 elements and set B has 4 elements then how many relations are possible?

If f(x) = log3 x and A = (3, 27) then f(A) =

A function f(x) is said to be an odd function if

If f(x) = ex and g(x) = loge x then the value of fog(1) is

2, 1

-2, 1

2, -1

-2, -1

The function f(x) = x – [x] has period of,

0

1

2

3

(x² + 2)/(x² + 1)

x²/(x² + 1)

x²/(x² + 2)

none of these

Let f : R → R be a function given by f(x) = x² + 1 then the value of f-1 (26) is,

5

-5

±5

None of these

Two functions f and g are said to be equal if f,

The domain of f = the domain of g

The co-domain of f = the co-domain of g

f(x) = g(x) for all x

All of above

The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period,

4

6

12

24

The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period,

4

6

12

24

If f(x) is an odd differentiable function on R, then df(x)/dx is a/an,

Even function

Odd function

Either even or odd function

Neither even nor odd function