AMF4_PK1
11
SEKOLAH MENENGAH KEBANGSAAN AGAMA JOHOR BAHRU PENILAIAN KURIKULUM 1 ADDITIONAL MATHEMATICS FORM 4 1 HOUR 30 MINUTES NAME : …………………………………………. CLASS : …………………………………………. Answer all questions in this section. 1. Diagram below shows the relation between set R and set S. State (a) the codomain of the relation. (b) the type of relation. (c) whether the relation is a function, [3 marks] Answer : (a) ……………………………. (b) ……………………………. (c) ……………………………. 3 • 5 • • p • q • r • s • t Set R Set S P = {1, 2, 3} Q = {2, 4, 6, 8, 10}
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MATEMATIK TAMBAHAN
Transcript of AMF4_PK1
SEKOLAH MENENGAH KEBANGSAAN AGAMA JOHOR BAHRU
PENILAIAN KURIKULUM 1
ADDITIONAL MATHEMATICSFORM 4
1 HOUR 30 MINUTES
NAME : ………………………………………….
CLASS : ………………………………………….
Answer all questions in this section.
1. Diagram below shows the relation between set R and set S.
State(a) the codomain of the relation.(b) the type of relation.(c) whether the relation is a function,
[3 marks]
Answer : (a) …………………………….
(b) …………………………….
(c) …………………………….
2. Based on the above information, the relation between P and Q is defined by the set of ordered pairs {(1, 2), (1, 4), (2, 6), (2, 8)}. State(a) the image of 1,(b) the object of 2.
[2 marks]
Answer : (a) ……………………………
3 •
5 •
• p• q• r• s• t
Set R Set S
P = {1, 2, 3}Q = {2, 4, 6, 8, 10}
(b) ……………………………
3. In diagram below, the function h maps x to y and the function g maps y to z.
Determine(a)(b)
[2 marks]
Answer : (a) ……………………………
(b) ……………………………
4. Given that and , find (a)(b)
[4 marks]
Answer : (a) …………………………….
x y zh g
2
5
8
(b) ……………………………5. Given the function where m is a constant and , find the
value of m.[2 marks]
Answer : …………………………………
6. Given the functions and Find the values of p and q.[3 marks]
Answer : …………………………………..
7. Given the function and the composite function , find
(a) g(x)(b) the value of x when gh(x) = 5.
[4 marks]
Answer : (a) ………………………………
(b) ………………………………
8. Given the quadratic equation .(a) Express the equation in the general form of quadratic equation.(b) Hence, find the roots of the equations.
[3 marks]
Answer : (a) ………………………………
(b) ………………………………
9. Solve the quadratic equation . Give your answer correct to four significant figures.
[3 marks]
Answer : …………………………………..
10. Form the quadratic equation which has the roots and . Give your answer in the
form , where a, b and c are constants.[2 marks]
Answer : …………………………………..
11. Find the value of k for which the equation has two equal roots.
[3 marks]
Answer : ………………………………….
12. The quadratic equation has two distinct roots. Find the the range of values of p.
[3 marks]
Answer : …………………………………..
13. Given 3 and p are the roots of the quadratic equation . Find the values of p dan q.
[3 marks]
Answer : …………………………………
13. The straight line does not intersect the curve Find the range of values of p.
[3 marks]
Answer : …………………………………..
14. Determine whether has a maximum or minimum point and state its point.
[2 marks]
Answer : ………………………………….
………………………………….
15. Find the range of the values of x for which .[3 marks]
Answer : …………………………………..
16. Diagram below shows the graph of the function , where k is a constant. Find
(a) the value of k,(b) the equation of the axis of symmetry,(c) the coordinates of the maximum point.
[3 marks]
Answer : (a) ………………………………
(b) ………………………………
(c) ………………………………
17. Given the quadratic function .(a) Express the quadratic function f(x) in the form , where k, m and n
are constants.(b) Hence, determine whether the function has a maximum or minimum value and
state the value.[5 marks]
Answer : (a) ………………………………
(b) ………………………………
………………………………
– 3 (2, – 3)
O
y
x
18. In the space provided below, sketch the graph of the quadratic functions for the domain .
[4 marks]Answer :
19. Find the range of the values of k if the graph of the quadratic function does not intersect or touch the x-axis.
[3 marks]
Answer : ………………………………...
END OF QUESTION PAPER
Prepared by:En. Samion Bin Awaldin,SMKAJB. 2006
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