23MA2002

• Many to one and onto

• 1. One to one and onto 

• 1. One to one and not onto

• 1. Many to one and onto 

• An onto function

• An one-to-one function

• 2. A bijection

• 1. not a function

 If f and g are two functions defined on the set of real numbers such that f(x)=4x+2 and 

       g(x) = 3x-1, then compute fog(x).

• 12x+2

• 12x-2

• 6x-2

• 6x+2

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 If R is a relation defined on A={a,b,c}, then identify the reflexive relation from the following relations on A.

• 1. {(a,b),(b,b),(c,c),(b,a)}

•   {(a,a),(b,b),(c,c),(b,a)}

• {(a,a),(b,c),(c,c),(b,a)}

•  {(a,a),(b,b),(c,a),(b,a)}

• B

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• A

 If a relation R on a set A is reflexive, symmetric, and transitive, then R is a —----------

• 1. equivalence relation.

• 1. not an equivalence relation.

•  partially ordered relation.

• not a partially ordered relation.

If R is an antisymmetric relation on a set A, then for all a,b∈A, if aRb and bRa, it must follow that __________.

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Find the relation R from A={1,3,5,7} to B={2,4,6} such that aRb if a>b

• 1. {(3,2),(5,2),(5,4),(2,7),(7,4),(7,6)}

• {(3,2),(5,2),(5,4),(7,2),(7,4),(6,7)}

• {(3,2),(5,2),(5,4),(7,2),(4,7),(7,6)}

• 1. {(3,2),(5,2),(5,4),(7,2),(7,4),(7,6)}

If R is a relation defined on A={x,y,z}, then identify the symmetric relation defined on A.

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