Ch 5

Question 1

Binary relation

Answer 1

If a and b are any two non empty sets then a subset r_ a×b is called binary relation from set a into set b

Question 2

Domain

Answer 2

Denoted by Dom r is the set consisting of all the first elements of each ordered pair in the relation

Question 3

Range

Answer 3

Denoted by rang r is the set consisting of all the second elements of each ordered pair

Question 4

Function

Answer 4

Suppose a and b are two non empty sets then relation f:a→b is called a function if Dom f=a every x€a appears in one and only one ordered pair

Question 5

Co domain

Answer 5

If f:a→b is a function then a is called the domain of f and b is called the co domain of f

Question 6

Into function

Answer 6

At least of element of set b is not an image of set a

Question 7

One one injective

Answer 7

If all distinct elements of set a have distinct image in b

Question 8

Onto surjective

Answer 8

If every element of set b is an image of set a

Question 9

Bijective

Answer 9

One one and onto

Question 10

Bijective

Answer 10

One one and onto