Functions and Relation

Let R be the relation in the set N given by R = {(a,b); a = b – 2 , b > 6} Is the relation reflexive?

• yes

• no

The smallest equivalence relation R on set A = {1,2,3} is

• {(1,1) ,(2,2),(3,3)}

• {(1,1) ,(2,2),(3,3),(1,2),(2,1)}

• {(1,1) ,(2,2),(3,3), (2,1)}

• none of these

Let R be the relation in the set of natural numbers N defined as R = {(x,y) ϵ N x N : 3x +y =11}. Then R^-1 is given by

• {(0,11),(1,8), (2,5),(3,2)}

• {(1,8),(2,5),(3,2)}

• {(11,0),(8,1),(5,2),(2,3)}

• {(8,1),(5,2),(2,3)}

Let f: R- {2} → R –{1} be a function defined by

f(x) = (x -1) / (x- 2) , then f is

• into function

• many one function

• bijective function

• many one, into function

Which set of ordered pairs represents y as a function of x?

• A

• B

• C

• D

36.

• F

• G

• H

• J

32.

• F

• G

• H

• J

• A
• B
• C
• D

• 
• 
• 
• 

Tags

8.5.G

• F

• G

• H

• J