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

Find the limit of given matrix, What is required: This assignment is to be ...

What is required: This assignment is to be resolved using Maple. You are to upload a single Maple worksheet with file name FamilynameFirstname.mw (e.g., CarrElliot.mw), using the A

Math, i need help in math

i need help in math

Net Present Value, A business has the opportunity to expand by purchasing ...

A business has the opportunity to expand by purchasing a machine at a cost of £80,000. The machine has an estimated life of 5 years and is projected to generate a cashflow of £20,0

Class limits and class boundries, Class limits These are numerical va...

Class limits These are numerical values, which limits uq extended of a given class that is all the observations in a provided class are expected to fall in the interval which

Determine the exterior angle, Using the sketch below and the fact that ∠A +...

Using the sketch below and the fact that ∠A + ∠B + ∠C + ∠D = 325, Determine m∠E.   a. 81° b. 35° c. 25° d. 75° b. The addition of the measures of the exterio

Differentiate outline function in chain rules, Differentiate following. ...

Differentiate following. Solution : It requires the product rule & each derivative in the product rule will need a chain rule application as well. T ′ ( x ) =1/1+(2x) 2

Prove the parallelogram circumscribing a circle is rhombus, Prove that the ...

Prove that the parallelogram circumscribing a circle is rhombus. Ans   Given : ABCD is a parallelogram circumscribing a circle. To prove : - ABCD is a rhombus or AB

Fundamental theorem of calculus, Fundamental Theorem of Calculus, Part II ...

Fundamental Theorem of Calculus, Part II Assume f ( x ) is a continuous function on [a,b] and also assume that F ( x ) is any anti- derivative for f ( x ) . Then,

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