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 relationon the set A = { 3, 6, 9, 12 }. The relation is

2.

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

3.

If a real valued function f ( x ) satisfies the fun tional equationf ( x - y ) = f ( x ) f ( y ) - f ( a - x ) f ( a + y ), whe e ‘a’ is a given constant andf ( 0 ) = 1, then f ( 2a - x ) is equal to

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