RELATION & FUNCTION Introduction __________________________________________________ __________________________________________________ MATEMATIKA EKONOMI & BISNIS OLEH: RIA SEFIANTI, M.Pd.
Relation __________ DEFINITION
Relation __________ DEFINITION In mathematics, relation describes a connection between elements of two sets.
What are the possible relations between these two sets? Abigail Bryan Cecile Dalton Emma Math English Arts Science Social A B
What are the possible relations between these two sets? Cheese Flour Egg Chocolate Milk Pizza Omelete Milkshake Cheesecake A B
Bryan Cecile Dalton Emma 1 4 16 18 27 Abigail What are the possible relations between these two sets? A B
14 19 27 30 9 24 29 35 50 10 What are the possible relations between these two sets? A B
10 12 15 20 1 2 3 4 5 6 What are the possible relations between these two sets? A B 6
Relation __________ PRESENTING RELATION Relation can be presented in multiple ways. Here are three common ways to present relations: diagram, table, and ordered pairs set.
PRESENTING RELATIONS AS AN ARROW DIAGRAM Abigail Bryan Cecile Dalton Emma Math English Arts Science Social A B The relation above is defined as "Set A member’s favorite subjects" ____________________________________
A B Abigail Math, Arts Bryan Science Cecile English, Sciece Dalton Social Emma Arts Let’s now display the same relation as a table. PRESENTING RELATIONS AS A TABLE ________________________________
Let’s now display the same relation as an ordered pairs set. DISPLAYING RELATIONS AS AN ORDERED PAIRS SET ______________________________________ {R: A→B | (Abigail, Math), (Abigail, Arts), (Bryan, Science), (Cecile, English), (Cecile, Science), (Dalton, Social), (Emma, Arts)}
Function __________ DEFINITION Function is a relation in which each input has exactly one output.
Function __________ All functions are relations, but not all relations are functions. Relations Functions
Function __________ Set A {a,b,c} is called the DOMAIN of the function. a b c p q r s A B The elements of set B that got paired {q,r} is called the RANGE of the function. Set B {p,q,r,s} is called the CO-DOMAIN of the function. Observe this function below!
__________________________________________________ __________________________________________________ TO BE CONTINUED Thank You!