Project In

Mathematics IVSubmitted by:

Ralph Dustin Dequilla

Darren DiazJohn Jaygee Peňa

Aljon Christopher Buna

Submitted to:

Mr. Eric De

GuzmanMath IV Teacher

What is a Relation?

Relation• It is any association between

elements of one set• The domain can’t be repeated

so that it can be called a function

Different Ways of Expressing Relation

Arrow DiagramTabular MethodGraphical Representation

ARROW DIAGRAM

We write the elements from the domain on one side, and the elements from the range on the other, and we draw arrows to show that an element from the domain is mapped to the range.

ARROW DIAGRAM

kinds of expressing the arrow diagram.

-One to one-Many to one

ONE TO ONE

Loves

Loves

Bryan Zenith

Paolo Ronalyn

In this diagram we illustrate that Bryan loves Zenith and Paolo loves Ronalyn.In the coordinates it can be this: (Bryan,Zenith) and (Paolo,Ronalyn) Where Bryan and Paolo are the domainwhile Zenith and Ronalyn are the range.

ONE TO ONE

MANY TO ONE

Loves

Loves

Bryan Zenith

Paolo RonalynLo

ves

Arjay Mary

In this diagram we illustrate that Bryan loves Zenith, Paolo loves Ronalyn again. You noticed that there are new Characters appeared on the diagram. And that is Arjay who loves Zenith, and Mary who loves herself.So the coordinates are:(Bryan, Zenith) (Paolo, Ronalyn) (Arjay, Zenith) (No one, Mary)

MANY TO ONE

ARROW DIAGRAM

Reminder!:In writing an arrow diagram The x or domain should NOT Be repeated or else it will not be a function. While the y or range CAN be repeated.

TABULAR METHOD

It is a set is represented by writing all the elements of the set, separated by commas and are enclosed within brackets { }

Example:

 R ={(-5,25),(2,4),(1,1),(5,25),(-3,9),(4,16)}

GRAPHICAL REPRESENTATION

By showing the relation is by making a graph.

When graphing a point you should know if that is a function.-Use the vertical lines that will travel in the path of the line. If the vertical line touches another line of the coordinates that will not be a Function.

GRAPHICAL REPRESENTATION

For Example:

GRAPHICAL REPRESENTATION

You’ve seen that the vertical linePassed through the line without touches another line. And can becalled a function

GRAPHICAL REPRESENTATION

-Just click the letter of the best answer!-No returning back!-Click only the Arrow button at the right side to next the slide.

EVALUATION

EVALUATION

Which of the following is not a way of expressing a relation?

A. Tabular Method B. Arrow Diagram

C. Table Method D. Graphing Representation

Your answer is correct!

CONGRATULATIONS!

Your answer is wrong!

SORRY!

Your such aLOSER!

Which of the following are the kinds of expressing the Arrow Diagram so that it can be called a function?

A. (One to One) and (One to many)

B. (One to Many) and (Many to One)

C. (One to One) and (Many to One)

D. (No answer) and (No answer)

Your answer is correct!

CONGRATULATIONS!

Your answer is wrong!

SORRY!

Your such aLOSER!

Which of the following relation is not a function?

A.(2,3) and (2,3) B.(3,3) and (2,2)

C.(4,3) and (2,4) D.(5,3) and (15,3)

Your answer is correct!

CONGRATULATIONS!

Your answer is wrong!

SORRY!

Your such aLOSER!

Which of the followingstatements is true about Relation so that it can be called a function?A. Relation is a bond between a

repeating domain and range to be called a function..

B. Relation is any association between one set

C. Relation is a association between a lineD . No answer

Your answer is correct!

CONGRATULATIONS!

Your answer is wrong!

SORRY!

Your such aLOSER!

Which of the following relation is not a function?

A. (Bryan,Zenith) and (Paolo, Ronalyn)

B. (Bryan,Zenith) and (Arjay,Zenith)

C. (Paolo,Mary) and (Bryan,Mary)

D. (Paolo,Mary) and (Paolo,Zenith)

Your answer is correct!

CONGRATULATIONS!

Your answer is wrong!

SORRY!

Your such aLOSER!

Last and the Hardest Question:INSTRUCTIONS:1. Please CONCENTRATE2. No turning BACK3. Don’t be PRESSURED4. Choose the BEST ANSWER!

A. YESB. NO

DO LIKE OUR PRESENTATION?

CONGRATULATIONS!

SORRY!

Prooot!Your such aLOSER!

THANK YOU!