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SURAJ BHAN DAV PUBLIC SCHOOL
RELATIONS AND FUNCTIONS
____________________________________________________________________________________________________
SBDAVPS/11/CH2/2015
Page 1 of 3
1. Find and x y if 2,3 5,2x y
2. If 1,2,4 , 2,3,4A B then find A B and B A . Is A B B A ?
3. If 1,2,4,5 , 3,4,5,6 , 2,5,6A B C then verify that
(i) A B C A B A C (ii) A B C A B A C
4. If 1,0,1A then find A A A
5. If A has three elements and B has 2 elements such that 1,2 , 2,3 , 4,2A B B A A B then find A
and B .
6. If A has three elements and , and ,x y y z A A then write A . Also write A A .
7. Let R be a relation from 1,2,3,4,5,6,7,8,9,10,11,12,13,14A to 1,2,3,4,5,6,7B defined as
, : , , 1R x y x A y B y x . Write R in roaster form. Find the domain and range of R . White kind of
relation must be there among students? (Value Based)
8. Let R be a relation on set Z of integers defined as 2 2, : , , 36R x y x y Z x y . Write R in roaster form.
Find the domain and range of R .
9. Let 1,2,3, ,14A . Define relation R on set A by , : , , 3 0R x y x y A x y . Depict this relation
using arrow diagram. Write down its domain, range and co-domain.
10. Let R be relation on Z defined by , : , , is an integerR a b a b Z a b . Find the domain and range of R .
11. If 1,2,3,4A and 2,3B then find the number of relations from A to B .
12. If 1,2,3A and number of relations from A to B are 128. Then find the number of elements in B .
13. Find the domain and range of 2
5
xf x
x
.
14. Find the domain and range of 1
3f x
x
15. Find the domain and range of 5f x x
16. Find the domain and range of 225f x x
17. Find the domain and range of 3
5
xf x
x
(Hots)
SURAJ BHAN DAV PUBLIC SCHOOL
RELATIONS AND FUNCTIONS
____________________________________________________________________________________________________
SBDAVPS/11/CH2/2015
Page 2 of 3
18. Find the domain and range of 2
2
1
2
xf x
x
19. Find the domain and range of 2 1
xf x
x
20. Find the domain and range of 2
3
2f x
x
21. Find the domain and range of 2 1f x x x (Hots)
22. Find the domain and range of 1
1
xf x
x
23. Find the domain and range of 2 1
1
xf x
x
.(Hots)
24. Find the domain and range of 2
21
xf x
x
(Hots)
25. Find the domain and range of 2
1
1f x
x
26. Draw the graph of f x x . Write its domain and range.
27. Draw the graph of 1 , if 0
1 , if 0
x xf x
x x
. Write domain and range of the function. (Hots)
28. Draw the graph of 1
1
xf x
x
. Write domain and range of f
29. Find the domain and range of
1
x x (Hots)
30. Find the domain of f x x x . (Hots)
31. Draw the graph of the function 3 7f x x x . Write the domain and range of f .(Hots)
32. Draw the graph of 21 , if 0
2 , if 0
x xf x
x x
(Hots)
33. Draw the graph of f x x (Greatest integer function). Write domain and range of f
34. Draw the graph of f x x (Fractional Part Function). Write domain and range of f
35. Draw the graph of signum function. Write domain and range of f
SURAJ BHAN DAV PUBLIC SCHOOL
RELATIONS AND FUNCTIONS
____________________________________________________________________________________________________
SBDAVPS/11/CH2/2015
Page 3 of 3
36. Draw the graph of 1
f xx
. Write domain and range of f
37. Draw the graph of f x x . Write domain and range of f
38. Draw the graph of 25f x x .
39. Draw the graph of logf x x . Write domain and range of f
40. Draw the graph of xf x e . Write domain and range of f
41. If :f R R , :g R R such that 2 ,f x x g x x then find
(i) 2f g (ii) 2fg (iii) 4f
g
42. Let , :f g R R defined, respectively by 1, 2 3f x x g x x . Find , , ,f
f g f g fgg
.