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REVISION ~ PAPER 1
[ Functions ]
1 Diagram 1 shows an arrow diagram for the relation between set
Pand set Q.
State / Nyatakan(a) the object of 4,
objek bagi 4,(b) Using the function notation, write a relation
between set Pand set Q. [ marks!
Answer" (a)###########
(b)##########...
2 $i%en that : 32
xh x , find h & 1 (x).
Answer" ############
3 'he following diagram shows the relation between setAand set
B.Rajah di bawah menunjukkan hubungan antara Set A dan Set B.
StateNyatakan(a) the range of the relation,
julat hubungan itu,(b) the te of the relation.
jenis hubungan itu. [ marks!Answer : (a)#########..##
(b)########..###
3
2 1
1
16
12
9
4
1
Set A Set B
2
1
0
1
2
6
4
2
1
0
P Q
Diagram 1 /Rajah 1
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4 'he function is defined b f " x & mx and 1(8) 2 = f , find
the %alue of m.
[ marks!
Answer" m#####
5 'he *artesian grah abo%e reresents a relation of setA+ 1, -, ,
0and set B+ 1, , -, 40. State(a) the image of 1,
imej bagi 1,(b) whether the relation is a function or not.
samada hubungan ini meru!akan ungsi atau tidak. [ marks!
Answer : (a) ########
(b) ########
6 $i%en that xxf 32: , find 1f ().
Answer" #.....................................
7 'he diagram abo%e shows the ordered airs relation. State (a)
the domain of the relation,
domain bagi hubungan ini,(b) the object for .
objek bagi ".
[ marks!Answer" (a) ##########
(b) #####..####
8 'he diagram below shows the relation between setAand set B
6
4
4
3
2
2
1
1
3 5 SetA
SetB
{ (a, 1) , (b, 2 ) , (c, 2) , (d, 4) }
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State / Nyatakan(a) the codomain,
kodomain,(b) the range.
julat. [ marks!
Answer: (a) ########.
(b) ########.
9 $i%en the functionx
xxf
=
2
3)( , find the %alue of kif (k) + 2.
Answer " k + ########.
10 3n Diagram 1, the function masxonto y and thefunction gmas
yonto #.
Determine / $entukan
(a) 1(-)
(b) g () [ marks!
Answer" (a) #####.###
(b) #######......
11 'he function is defined b h(x) +2
5 x,x5 . 6ind h1() [ marks!
-2 -1 0 1 2 3 4
1
2
3
4
SetA
SetB
Diagram 1 / a!a" 1
#
3
x y z
-1
f g
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16 :ased on the abo%e information, the relation betweenAand Bis
defined b the set ofordered airs (a, d) ,(a, e), (b, ) ,(', e) 0.
State(a( the te of the relation,(b) the range of the relation. [
mark!
Answer" (a)###########
(b)###########
17 $i%en functions1 2 5:
3
xh x
, find h(-). [ marks!
Answer" #..#..#########
18 $i%en that3
: , 05
f x xx
and : 2g x x , find g(x). [marks!
Answer" ##########.#
19 'he diagram below shows the relation between set)and set *.
State
S;') S;' *
(a) the image of 4,
imej bagi4,
(b) the te of the relation.
jenis hubungan [ marks!
20 $i%en the functions " x - & x and g"x x< k. 3f () +
g(-),
find the %alue of k. [ marks!
Answer" k+ #########
2
4
6
a
b
d
c
P $ {6, #, 8}
$ a b c de
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26 $i%en the functions +!xx:g + and ,-".xx:g" + , find the
%alues of !
and +.
27 $i%en the function m"xx: + and /"
0kxx: 1 , where m and k are
constants, find the %alue of m and of k.
28 $i%en the function "xh2x( = and the comosite function
0xxgh2x( " +=
find g(x).
29 $i%en the function 3x,x
-2x( = and the comosite function xg2x( =
find g(x)
-= 'he arrow diagram below shows the maing of > to b the
function!"xx: +f
and the maing of to @ b the function kyy
qxg
,
12: where k,!and +
are
gfzyx
5
2
4
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constants. 6ind(a) the %alue of k,!and +,(b) the comosite
function that mas xto #(c) the function that mas #to y.
-1 A function h is defined b 4x/x:h . 6ind the object which mas
onto itself.
- 'he diagram shows the grahof function -,xy = .(a) Determine
the %alues of m, hand n ,(b) State the domain of the function.
8
02 n
y
m
xh
