Student's Copy Module 11

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    PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

    MATHEMATICS

    FORM 3

    MODULE 11

    PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

    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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    A B C D E

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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

    52

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    54

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    A B C D E

    A B C D E

    A B C D E

    A B C D E

    A B C D E

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    5859

    60

    A B C D E

    A B C D E

    AB 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 E

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    A B C D E

    A B C D E

    11

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    A B C D E

    A B C D E

    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

    2

    3

    10

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    Nama Pelajar:

    Nama Sekolah: Modul: 11