Definition of relation, Mathematics

Definition of Relation

A relation is a set of ordered pairs.

It seems like an odd definition however we'll require it for the definition of a function though, before actually we give the definition of a function let's see if we can get a handle on just what a relation is.

In example we constructed a set of ordered pairs we used to sketch the graph of that we used.

                            y =( x -1)2  - 4

2328_Definition of Relation.png

Here are the ordered pairs of this graph

( -2, 5)( -1, 0)(0, -3)(1, -4)(2, -3)(3, 0)( 4, 5)

Thenany of the following are relations since they consist of a set of ordered pairs.

{( -2, 5)  ( -1, 0)  ( 2, -3)}

{( -1, 0)  (0, -3) ( 2, -3)  (3, 0)  ( 4, 5)}

{(3, 0)  ( 4, 5)}

{( -2, 5)  ( -1, 0)  (0, -3) (1, -4)  ( 2, -3)  (3, 0)  ( 4, 5)}

Of course there are several more relations which we could make from the list of ordered pairs above, however we just desired to list a few possible relations to give some instance.  Notice as well that we could get other ordered pairs also from the equation and add those into any of the relations above if we desired to.

Now, at this point you are possibly asking just why we care about relations & that is a good question. Some relations are extremely special and are utilized at almost all levels of mathematics. Given definition tells us just which relations are these special relations.

Posted Date: 4/6/2013 6:15:32 AM | Location : United States







Related Discussions:- Definition of relation, Assignment Help, Ask Question on Definition of relation, Get Answer, Expert's Help, Definition of relation Discussions

Write discussion on Definition of relation
Your posts are moderated
Related Questions
cot functions

On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal

find a quadratic equation whose roots are q+1/2 and 2p-1 with p+q=1

In addition and subtraction we have discussed 1) Some ways of conveying the meaning of the operations of addition and subtraction to children. 2) The different models o

if each tile with aside that measures one foot, how many tiles will be needed?

Figure shows noise results for a prototype van measured on a rolling road. The vehicle had a four-cylinder-in-line engine. The engine speed was varied in 3rd gear from just above

Theorem If {a n } is bounded and monotonic then { a n } is convergent.  Be cautious to not misuse this theorem.  It does not state that if a sequence is not bounded and/or

Using R function nlm and your code from Exercise E1.2, write an R function called pois.mix.mle to obtain MLEs of the parameters of the Poisson mixture model.

What is the square root of -i and argument of -i Ans) argument of -i is 270 ad 1 is the square root of -i

what does the three mean in the power ?