Mathematics-Set Relation Function

Test Preparation on Mathematics-Set Relation Function

1.

Let R = { ( 3, 3 ) ( 6, 6 ) ( ( 9, 9 ) ( 12, 12 ), ( 6, 12 ) ( 3, 9 ) ( 3, 12 ), ( 3, 6 ) } be a relation on the set A = { 3, 6, 9, 12 }. The relation is

1reflexive and transitive
2reflexive only
3an equivalence relation
4reflexive and symmetric only

2.

Let f : ( - 1, 1 ) → B be a function defined by f ( x ) =tan - 1 2x/1 - x2, , then f is both one-one and onto when B is the interval

1(0 , p/2)
2[0 , p/2]
3[- p/2 , p/2]
4(- p/2 , p/2)

3.

If a real valued function f ( x ) satisfies the functional equation f ( x - y ) = f ( x ) f ( y ) - f ( a - x ) f ( a + y ), where ‘a’ is a given constant and f ( 0 ) = 1, then f ( 2a - x ) is equal to

1- f ( x )
2f ( x )
3f (a ) + f ( a - x )
4f ( - x )

4.

Let R = { ( 1, 3 ), ( 4, 2 ) ( 2, 4 ), ( 2, 3 ), ( 3, 1 ) } be a relation on the set A = { 1, 2, 3, 4 }.The relation R is

1a function
2transitive
3not symmetric
4reflexive

5.

The ran e o the function f ( x ) = x 37 xP -- is

1{ 1, 2 3 }
2{ 1, 2, 3, 4, 5, 6 }
3{ 1, 2, 3, 4 }
4{ 1, 2, 3, 4, 5 }

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