Relation is not a function, Mathematics

Assignment Help:

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!


Related Discussions:- Relation is not a function

Show trigonometric functions on a graph, Q. Show Trigonometric Functions on...

Q. Show Trigonometric Functions on a Graph? Ans. By discussing the trig functions with respect to an angle in a right-angle triangle, we have only considered angles betwee

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

Calculate the area of remaining piece of cardboard, A piece of cardboard in...

A piece of cardboard in the shape of a trapezium ABCD & AB || DE, ∠ BCD = 900, quarter circle BFEC is removed. Given AB = BC = 3.5 cm, DE = 2 cm. Calculate the area of remaining p

Graph, Now we need to discuss graphing an equation. The first question whic...

Now we need to discuss graphing an equation. The first question which we have to ask is what accurately is a graph of an equation?  A graph is the set of all the ordered pairs whos

Satistics, I have about 6 Statistics questions, can anyone help me?

I have about 6 Statistics questions, can anyone help me?

Standard conventions in game theory, Standard conventions in game theory ...

Standard conventions in game theory Consider the given table: Y   3 -4 X -2 1

Show that 571 is a prime number, Show that 571 is a prime number. Ans: ...

Show that 571 is a prime number. Ans:    Let x=571⇒√x=√571 Now 571 lies between the perfect squares of  (23)2 and (24)2 Prime numbers less than 24 are 2,3,5,7,11,13,17,1

Geometry of arcs, how to divide an arc in three equal parts

how to divide an arc in three equal parts

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