Relation is not a function, Mathematics

The following relation is not a function.

                  {(6,10) ( -7, 3)  (0, 4)  (6, -4)}

Solution

Don't worry regarding where this relation came from.  It is only one that we made up for this example.

Here is the list of first & second components

1st components :{6, -7, 0}       2nd   components : {10, 3, 4, -4}

From the set of first components let's select 6.  Now, if we go up to relation we see that there are two ordered pairs along with 6 as a first component: (6,10) and (6, -4) .  The list of second components related with 6 is then : 10, -4.

The list of second components related with 6 contains two values & so this relation is not a function.

Consider the fact that if we'd selected -7 or 0 from the set of first components there is just one number in the list of second components related with each. It doesn't matter.  The fact that we found even a single value in the set of first components  along with more than one second component related with it is sufficient to say that this relation is not a function.

As final comment regarding this example let's note that if we eliminated the first and/or the fourth ordered pair through the relation we would have a function!

Posted Date: 4/6/2013 6:18:04 AM | Location : United States







Related Discussions:- Relation is not a function, Assignment Help, Ask Question on Relation is not a function, Get Answer, Expert's Help, Relation is not a function Discussions

Write discussion on Relation is not a function
Your posts are moderated
Related Questions
Rob purchased picnic food for $33.20 to share along with three of his friends. They plan to split the cost evenly among the four friends. How much does every person required to pay

A painting was purchased 11 years ago for $26900. It has just been sold for $78000. Calculate the flat rate of appreciation p.a.

What is a scatter diagram? A scatter diagram is a graphical representation of data points for a particular sample. Choosing a dissimilar sample or enlarging the original one ca

just give me some tips to submit a good asignments

#questiThe elevation of a telecommunication mast from two points, one due North of the tower and the other South of it are 21.2 degrees and 24.3 degrees respectively, and the two p

x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2

#question.areas of applications of linear program mes to solution to engineering problems.

Calculate 50%

The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

Q. Illustrate Pythagorean Theorem? Ans. You have definitely seen the Pythagorean Theorem before, so a 2 + b 2 = c 2 should look familiar to you. The Pythagorean Theor