# chap2Function - [Part 3 FUNCTIONS Semester(1 2015/2016 1...

This preview shows pages 1–14. Sign up to view the full content.

FUNCTIONS Semester (1) : 2015/2016 [Part 3] 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
FUNCTION Let X and Y are nonempty sets. A function ( f ) from X to Y is a relation from X to Y having a properties: o The domain of f is X o If ( x,y ), ( x,y’ ) f , then y =y 2
Relations vs Functions 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Relations vs Functions 4
Domain, Co-domain, Range A function from X to Y is denoted, f : X Y The domain of f is the set X . The set Y is called the co-domain or target of f . The set { y | ( x , y ) f } is called the range . 5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example Given the relation, f = { (1, a ), (2, b ), (3, a ) } from X = { 1, 2, 3 } to Y = { a , b , c } is a function from X to Y . State the domain and range. Solution: The domain of f is X The range of f is { a, b } 6
Example (cont.) 7

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Example 8
Example 9

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document