student's copy module 11
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MATHEMATICS
FORM 3
MODULE 11
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GRAPHS OF FUNCTIONS
MINISTRY OF EDUCATION MALAYSIA
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MODULE 11: GRAPHS OF FUNCTIONS
Arahan:
1. Modul ini mengandungitiga puluh lima soalan. Semua soalan adalah dalam
bahasa Inggeris.
2. Modul merangkumitujuh konstruk yang diuji
K1 - Memahami soalan dalam bahasa InggerisK3 - Memahami istilah matematik dalam bahasa InggerisK5 - Menguasai konstruk pengetahuan
K6 - Menguasai konstruk kefahamanK7 - Menguasai konstruk kemahiranK8 - Mengungkapkan idea/informasi dalam bahasa InggerisK10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris
3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektifdisediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan
jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalamkertas jawapan objektif sebelum ujian.
4. Bagisoalan objektif, anda perlu menandakan jawapan dengan menghitamkan
pilihan jawapan pada pilihan jawapan A , B , Catau D pada kertas jawapanobjektif.
Contoh:
Antara berikut, yang manakah haiwan?
A. Pokok B. Kambing C. Kereta D. Pen
5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasinganyang disediakan oleh guru.
6. Jawab semua soalan.
Modul ini mengandungi15halaman bercetak
DA B C E
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1 When the relationship between two variables is linear, the graph of the function
representing the relationship is a straight line.Which of the following is not a linear function?
A B
C D
2 In the function y=x + 2, xis the independent variable.Determine the independent variable in the function y = 3q _ 5
A 3
B
_
5C p
D q
3 In an algebraic equation ofy= 2x2
+ 5, yis a dependent variable. State the dependent
variable in the equation ofp = 2m3
+ 5,
A 2
B 6
C m
D p
y y
y y
x x
x x
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4 The graph of the function y= 5x+ 7 intersect the y-axis at 7 as shown below.
Which of the following graphs is the function ofy= 5x+ 10
A B
C D
5 The graph of the function y=x3_8 intersects the y-axis at ( 0 , _8 ), whereas the graph
of the function y = x3_5intersectsthe y-axis at
A (0 , 5)
B (0 , 3)
C (0 , _3)
D (0 , _5)
7
x
y
0
10
x
y
0
5
x
y
0
y
10 x0 5 x0
y
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6 Which of the following is a linear function?
A y = x3
B y = x2
Cy =
x
1
D y = x
7 Given that y= 2x+ 3, which of the following is the independent variable?
A 2
B 3
C x
D y
8 In the function y= 3x, the value ofydepends on the value ofx. The letteryis called the
A constant
B coefficient
C dependent variableD independent variable
9 The intersection point of the y-axis andx-axis is known as the
A origin
B distance
C midpoint
D quadrant
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10 A plane which consists ofx-axis and y-axis is called
A Cartesian plane
B horizontal planeC vertical plane
D coordinate
11 The graph shows the function ofy= 2xn
+ 3.
What is the value ofn ?
A _1
B 1
C 2
D 3
y
x0
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12 Which of the following represents the graph ofy= ax3+ b ?
A B
C D
13 The diagram shows a graph of a function.
Which of the following is the equation of the graph ?
A y= _x+ 2
B y= _x2
+ 2
Cy=
x
1+ 2
D y= x3
+ 2
y
x
y
0
y
x0
x0
y
x0
y
x
2
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14 Which of the functions does not represent a straight line ?
A y= 3x2
B y= _2x+ 3
C y= 2x+ 3
D y= 3x_2
15 Which of the following can be used to describe a relationship between two variables?
I Ratio
II Equation
III Ordered pair
IV Table of values
A I, II, III
B I, III, IV
C II, III, IV
D I, II, III, IV
16 Which of the following is true for the function y= 2x2+ 4 whenx= _3 ?
A y= 2 ( 9 ) + 4
B y= 2 ( 6 ) + 4
C y= 2 ( _6 ) + 4
D y= 2 ( _9 ) + 4
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17 The Cartesian plane shows a graph of a straight line.
What is the value ofxwhen y= 2 ?
A 4
B 3
C 2
D 1
18 The graph of the function y=x3_8 intersects the y-axis at
A (0 , _8)
B (0 , 8)
C (8 , 0)
D (_8 , 0)
x0
1
2
3
4
1 2 3 4
y
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19 The diagram shows the graph of the function y= 2x 6 on a Cartesian plane.
Find the value ofk.
A 6
B 2
C _2
D _6
20 The diagram shows the graph of the function y= 2x+ 4.
What are the coordinates of the point where the graph intersect withx-axis ?
A (0, -2)
B (-2, 0)
C (0, 4)
D (4, 0)
y
x0
k
y
x0_2
4
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21 Given the function 12=2
xy , find the value ofywhenx= 3.
A _3B _6
C_
18D _21
22 The point (2, 4) satisfies the function
A 12 += xy
B xy 23 =
C 23 = xy
D 54 += xy
23 Given (k, 0) lies on the graph of function .xy 84 = The value ofkis
A _8B _2C 2D 4
24 Which of the following points does not lie on the straight line x.y 32=
A (1, -1)B (2, 4)C (0, 2)D (-3, -7)
25 Which of the following represents 9?3 += xy
A C
B D
x
y
3
60
x
y
9
30
x
y
6
3
x
y
9
60
0
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All questions from number 26 to number 30 must be answered in words.
26 Explain what is the meaning of function.
27 Explain how to draw the graph of a function.
28 What is the meaning of variable?
29 What is a dependent variable?
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30 Describe the shape of the graph for the function 8=xy
From Question 31 35, the teacher reads the questions to the students. Students choosethe correct answer.
31
A 11B 10C 0D -1
32
A 12 = xy
B 1=xy
C 23xy=
D 12 += xy
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A C
B D
34
A _14B _6C 6D 14
x _2 1
y r q
x
y
0x
y
0
x
y
0
x
y
0
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35
A xp += 4
B xp = 4
C
xp
4=
D xp 4=
END OF QUESTION PAPER
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Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK
GUNAKAN PENSIL 2B ATAU BB SAHAJA.TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG.PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH
SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH
KEMENTERIAN PELAJARAN MALAYSIA
KERTAS JAWAPAN OBJEKTIFUjian Diagnostik
51
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A B C D E
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A B C D E
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A B C D E
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A B C D E
AB C D E
A B C D E
A B C D E
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A B C D EA B C D E
A B C D E
Konstruk No. Soalan JumlahSoalan
Bilangan SoalanGagal Dijawab
Kegunaan Guru
K1
K3
K5
K6
K7
K8
K10
1-5
6-10
11-15
16-20
21-25
26-30
31-35
5
5
5
5
5
5
5
1
9
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Nama Pelajar:
Nama Sekolah: Modul: 11