ppt f4 2019 add math

SULIT ADD MATH PPT F4 2019

ANSWER ALL QUESTION
JAWAB SEMUA SOALAN

1. Diagram shows the relation between set A and set B
Rajah menunjukkan hubungan antara set A dan set B

Set A Set B
r
p s
q t
w
State/ Nyatakan
(a) the type of relations [3 marks]

jenis hubungan
(b) the image of p

Imej bagi p
(b) the range of the relations

julat bagi hubungan itu
Answer/Jawapan:-

a)

b)
c)

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SULIT ADD MATH PPT F4 2019

2. Diagram shows, elements in set B is the images of the elements of the set A
Rajah menunjukkan unsur dalam set B adalah imej bagi unsur dalam set A

6 36
5 25
-5 Set B
-6

Set A

(a) State the type of relation between set A and set B
Nyatakan jenis hubungan antara set A dan set B

(b) Write a relation between set A and set B by using the function notation.
Tuliskan hubungan antara set A dan set B menggunakan tatatanda fungsi

[3 marks]

Answer/Jawapan:-

a)

b)

.
3. Diagram shows the function f maps x to y and the function g maps y to z .
Diagram shows the function f memetakan x ke y dan fungsi g memetakan y ke z

Determine / Tentukan (b) gf (−6) [3 marks]
2
(a) f −1 (−1)
Answer/Jawapan:-
a)

b)

SULIT ADD MATH PPT F4 2019
[3 marks]
4. Given that f : x → 5 − x , find
6

Diberi f : x → 5 − x , cari
6

(a) function f −1 / fungsi f −1
(b) the value of f −1 (2) / nilai f −1 (2)

Answer/Jawapan:-
a)

b)

5. Given the function f : x → hx − 3 and f −1 : x → 2x + k , where h and k are constants.
Find the value of h and k .

Diberi fungsi f : x → hx − 3 dan f −1 : x → 2x + k , dengan keadaan h and k adalah

pemalar. Cari nilai h dan k .

[3 marks]

Answer/Jawapan:

3

SULIT ADD MATH PPT F4 2019

6. Functions f and g are defined as f : x → 3x − 2 and g : x → 1 − x , x  0 , find
x

gf (x)

Fungsi f dan g ditakrifkan sebagai f : x → 3x − 2 dan g : x → 1 − x , x  0 , cari
x

gf (x)

[3 marks]
Answer/Jawapan:

7. Given that f : x → 3x −16 and fg : x → 3x2 + 9x − 4 , find [5 marks]
Diberi f : x → 3x −16 dan fg : x → 3x2 + 9x − 4 , cari

(a) function g
fungsi g

(b) the values of x if fg(x) = g(x)
nilai x jika fg(x) = g(x)

Answer/Jawapan:

4

SULIT ADD MATH PPT F4 2019
[4 marks]
8. Given g : x → 5x − 2 and gf (x) → 3x2 + 4 , find
Diberi g : x → 5x − 2 dan gf (x) → 3x2 + 4 , cari
(a) g −1 (2)
(b) f (x)

Answer/Jawapan:-
a)

b)

9. Solve the quadratic equation 2 ( − 4) = (1 + )( + 2) by using formula. Write
your answers correct to four significant figure.
Selesaikan persamaan kuadratik 2 ( − 4) = (1 + )( + 2) menggunakan rumus.
Tulis jawapan anda betul kepada 4 angka bererti.

[4 marks]

Answer/Jawapan:-

5

SULIT ADD MATH PPT F4 2019

10. Solve the equation 1 − 1 = 3 by using completing the square. Write your answers
2 2

correct to four significant figure.

Selesaikan persamaan 1 − 1 = 3 dengan menggunakan penyempurnaan kuasa dua
2 2

Tulis jawapan anda betul kepada 4 angka bererti..

[4 marks]

Answer/Jawapan:-

11. If α and β are the roots for the quadratic equiation 2 2 + 3 + 4 = 0 ,find a new

1 1 .

quadratic equation for if their root is and

Jika α dan β adalah punca-punca bagi persamaan 2 2 + 3 + 4 = 0 ,bentukkan

satu persamaan kuadratik yang baru jika punca-puncanya 1 dan 1.



[4 marks]

Answer/Jawapan:-

6

SULIT ADD MATH PPT F4 2019

12. If α and β are the roots for the quadratic equiation 5 + 1 = −2 2 ,find a new

quadratic equation for if their root is + 2 and + 2.

Jika α dan β adalah punca-punca bagi persamaan 5 + 1 = −2 2 ,bentukkan satu

persamaan kuadratik yang baru jika punca-puncanya + 2 dan + 2.

[4 marks]

Answer/Jawapan:-

13. Find the values of k if the quadratic equation x2+2kx+k+6=0 has equal roots.
Cari nilai-nilai bagi k jika persamaan x2+2kx+k+6=0 mempunyai dua punca yang

sama.

[3 marks]

Answer/Jawapan:-

7

SULIT ADD MATH PPT F4 2019

14. Given that px2+(q+2) x - 4=0 has two equal roots, express p in term of q.
Diberi bahawa px2+(q+2) x - 4=0 mempunyai dua punca yang sama, ungkapkan p

dalam sebutan q.
[3 marks]

Answer/Jawapan:-

15. Diagram shows the graph of the function y = 8 + (x − k)2 where k is constant.
Rajah menunjukkan graf fungsi y = 8 + (x − k)2 dengan keadaan`k adalah pemalar

4 (6, 4)

Find / Cari [4 marks]
(a) the value of k 8
nilai k
(b) the equation of the axis of symmetry
persamaan paksi simetri
(c) the coordinates of the maksimum point
koordinat titik maksimum

Answer/Jawapan:-
a)

b)

c)

SULIT ADD MATH PPT F4 2019

16. Diagram shows the graph of f (x) = a(x + p)2 + q where a, p and q are constants The
curve y = f (x) has a minimum point (4, - 5)
Rajah menunjukkan graf f (x) = a(x + p)2 + q dengan keadaan a, p dan q adalah
pemalar. Lengkung y = f (x) mempunyai titik minimum (4, - 5)

State / Nyatakan [ 4 marks ]
(a) the range of the values of a, / julat nilai a
(b) the value of p / nilai p
(c) the value of q / nilai q
(d) the equation of the axis of symmetry.

persamaan paksi simetri

Answer/Jawapan:-
a)

b)

c)

d)

9

SULIT ADD MATH PPT F4 2019

17. The quadratic function f(x) = -x2 +2x + k2, where k is a constant, has maximum value
of 5 , find the value of k.

Fungsi kuadratik f(x) = -x2 +2x + k2 , dengan keadaan k ialah pemalar, mempunyai
nilai maksimum 5. Cari nilai-nilai yang mungkin bagi k.

[4 marks]

Answer/Jawapan:-

18. Find the range of values of x for ( 2 − 1)( + 4) > 11 . [3 marks]
Cari julat nilai x bagi ( 2 − 1)( + 4) > 11

Answer/Jawapan:-

10

SULIT ADD MATH PPT F4 2019

19. Given that ( ) = 28 + 2 − 2 , find the range of values of x if ( ) ≤ 4
Diberi ( ) = 28 + 2 − 2 , cari julat nilai x jika ( ) ≤ 4
[3 marks]
Answer/Jawapan:-

20. Sketch the graph of quadratic function ( ) = −4 2 − 5 + 12 , then determine the
maximum or minimum point and the equation of axis symmetry.
Lakarkan graf bagi fungsi kuadratik ( ) = −4 2 − 5 + 12 , kemudian tentukan
titik maksimum atau minimum dan persamaan paksi simetri.

[6 marks]

Answer/Jawapan:-

End Of Question
Soalan Tamat.

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