REPRESENTATION OF FUCTIONS Flashcards
THEY CREATED “___ ___” TO MANIPULATE NUMBERS.
FUNCTION MACHINES
THE SET OF ALL “INPUT” OR “X” VALUES TO A FUNCTION.
SET OF FIRST COORDINATE.
DOMAIN
THE SET OF ALL “OUTPUT” OR “Y” VALUES FROM A FUNCTION.
SET OF SECOND COORDINATE.
RANGE
IS A SET OF ORDERED PAIRS.
SHOWS THE RELATIONSHIP “INPUT” AND “OUTPUT”.
RELATION
WHEN EACH ELEMENT OF THE “___” CORRESPONDS TO EXACTLY ONE ELEMENT OF THE “___”. THE RELATION IS CALLED FUNCTION.
- DOMAIN
2. RANGE
IT IS A RELATION IN WHICH EACH ELEMENT OF THE DOMAIN CORRESPOND TO EXACTLY ONE ELEMENT OF THE RANGE.
FUNCTION
DOMAIN …
INPUT
RANGE …
OUTPUT
WHAT ARE THE FOUR (4) TYPES OF RELATION?
> ONE-TO-ONE RELATION
ONE-TO-MANY RELATION
MANY-TO-ONE RELATION
MANY-TO-MANY RELATION
“EACH” ELEMENT OF THE “DOMAIN” CORRESPONS WITH EXAACTLY “ONE” ELEMENT OF THE “RANGE”.
ONE-TO-ONE RELATION
“EACH” ELEMENT OF THE “DOMAIN” CORRESPOND WITH “TWO OR MORE” ELEMENTS OF THE “RANGE”.
ONE-TO-MANY RELATION
“TWO OR MORE” ELEMENTS OF THE “DOMAIN” CORRESPONDS WITH “ONE” ELEMENT OF THE “RANGE”.
MANY-TO-ONE RELATION
“TWO OR MORE” ELEMENTS OF THE “DOMAIN” CORRESPONDS WITH “TWO OR MORE” ELEMENTS OF THE “RANGE”.
MANY-TO-MANY RELATION
A GRAPH IS A FUNCTION IF AND ONLY IF NO “___ ___” INTERSECTS THE GRAPH IN “MORE THAN ONE POINT”.
VERTICAL LINE / VERTICAL LINE TEST