Definition of relation, Mathematics

Assignment Help:

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.


Related Discussions:- Definition of relation

Divergence test - sequences and series, Divergence Test Once again...

Divergence Test Once again, do NOT misuse this test.  This test only says that a series is definite to diverge if the series terms do not go to zero in the limit.  If the

Applications of derivatives, Applications of derivatives : At last, let's ...

Applications of derivatives : At last, let's not forget about our applications of derivatives. Example    Assume that the amount of air in a balloon at any time t is specified

The laplace method, The Laplace method Laplace method employs all the i...

The Laplace method Laplace method employs all the information by assigning equal probabilities to the possible payoffs for every action and then selecting such alternative whic

What is unreducing fractions, Q, Did you know that you can unreduce a fract...

Q, Did you know that you can unreduce a fraction? Ans. Remember, you reduce a fraction by dividing the numerator and denominator by the same numbers. Here we divide

Commercial, The C.P. of 20 articles is same as theS.P. of x articles.Articl...

The C.P. of 20 articles is same as theS.P. of x articles.Article profit is 25%.Find x

Ellpsoid, different kind of ellipsoid

different kind of ellipsoid

Compute the probability of weather, Analysis of questionnaire completed by ...

Analysis of questionnaire completed by holiday makers showed that 0.75 classified their holiday as excellent at Malindi. The probability of hot weather in the resort is 0.6.  If th

Proof by Condratiction, "Prove by contradiction that no root of the equatio...

"Prove by contradiction that no root of the equation x^18 -2x^13 + x^5 -3x^3 + x - 2 = 0 is an integer divisible by 3" Any help would be very much appreciated!

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd