untitled

9. If
   2 1

2 1

()





x

x

fx , find the value of

1

1

1

1

2

2

̧

¹

·

̈

©

§

̧

¹

̈ ·

©

§

x

f

x

f

.

10. If 2
    1 2 4
    ()
    x

x x

gx

 

, show that, ( )

(^12)
g x 2 ̧ gx
¹
·
̈
©
§

11. Find the domain and range of the following relations :
    (a)R {( 2 , 1 ),( 2 , 2 ),( 2 , 3 )} (b) S {( 2 , 4 ),( 1 , 1 ),( 0 , 0 ),( 1 , 1 ),( 2 , 4 )}

(c)

¿

¾

½

̄

®

­

̧

¹

·

̈

©

§ 

̧

¹

·

̈

©

 §

̧

¹

·

̈

©

§ , 2

2

5

, 2 ,

2

5

, 0 ,( 1 , 1 ),( 1 , 1 ),

2

1

F

12. Express the relations in tabular method and find domain and range of following
    relations :
    (a)R {(x,y):xA, yA and xy 1 } where A { 2 , 1 , 0 , 1 , 2 }
    (b)F {( x,y):xC, yC and x 2 y} where C { 1 , 0 , 1 , 1 , 3 }


13. Plot the points ̧
    ¹

·

̈

©

  § 

6

5

,

2

1

( 3 , 2 ),( 0 , 5 ), on graph paper.

14. Plot the three points ( 1 , 2 ),( 1 , 1 ),( 11 , 7 ) on graph paper and show the three
    points are on the same straight line.


15. Universal set U {x:xN and x is an odd number}

A {xN: 2 dxd 7 }

B {xN: 3 x 6 }

C {xN:x^2! 5 and x^3  130 }

(a) Express A in tabular method.
(b) Find Ac and CB.
(c) Find BuC and P(AˆC).