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Mathematics 16 Online
OpenStudy (anonymous):

is funtion a relation? and is relation is function? pls help me

OpenStudy (owlfred):

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

OpenStudy (anonymous):

functions are relations but all relations are not functions...ask if u hav doubts! :)

OpenStudy (anonymous):

tnx how about this... { (1,30 }, (2,3) , (4,5) , (6,7) } is this a function or a relation???

OpenStudy (anonymous):

The above is both a relation and function. Thats not the complete answer though. Every set which is a subset of the cartesian product of 2 sets A and B is a relation.

OpenStudy (anonymous):

More generally, a binary relation between two sets A and B is a subset of A × B

OpenStudy (anonymous):

A function is a special case of a more general mathematical concept, the relation, for which the restriction that each element of the domain appear as the first element in one and only one ordered pair is removed.

OpenStudy (anonymous):

the function's domain is {1,2,4,6} and the range is {3,5,7,30}

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yes its obviously a relation and a many-one function

OpenStudy (anonymous):

doubts? ask me :)

OpenStudy (anonymous):

my mind is not working...=D ahm, the relations are not functions. right?? is there a possibilities that a relation can be a function????

OpenStudy (anonymous):

all functions are relations..u r right but some relations are functions! yup..there are relations that are functions..

OpenStudy (anonymous):

i told u some posts ago..that a function is only a special case of a more general mathematical concept-the relation.

OpenStudy (anonymous):

tnx a lot... can u give me examples of a and b?

OpenStudy (anonymous):

what a and b?

OpenStudy (anonymous):

never mind =D how to identify if the given is a relation that are function?

OpenStudy (anonymous):

{ ( a,b ) , ( a,c ) , ( 4,3 ) } a relation? a function?

OpenStudy (anonymous):

its a relation but not function..

OpenStudy (anonymous):

a relation is a function when no element of domain appears more than once. observe that u have a appearing 2 times in (a,b) and (a,c). Both b and c are related to a by the given relation but its not a function since a function maps a each of the elements of domain to a single elements of range.

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