Page 39 - Matematik Tambahan Tingkatan 4 KSSM

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A
A
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A

N
N
N
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A
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N
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A
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N
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A
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U
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L
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L
U
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L

U
U

U
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L
L
L
L

U
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U

L
L
L
L
L
L
L
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L
S
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L
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S
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L

U
U
U
U
U

U
L
L
L
L
U
U
U
U
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L
L
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U
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T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T
TULIS JURNAL ANDA BAB 1
U
U

U
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U

U
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L
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I
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I

I
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J
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J

J
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J

J
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I
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I
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Buat carian dalam Internet dan buku-buku berkaitan sejarah penggunaan tatatanda fungsi
y = f (x). Buat satu folio digital menggunakan perisian persembahan seperti Power Point, Prezi
atau Powtoon.
U
U
T
T
T
T
T
T
T
T
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T
T
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U
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K
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K
A
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A
H
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A
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A
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H
H
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H
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L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L L
LATIHAN PENGUKUHAN
A
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
N
N
N
N
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N
N
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N
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N
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N
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N
N
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N
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N
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N
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N
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N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
A
A
A
A
A
A
A
A
N
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
A
A
A
A
A
A
A
A
A
A
A
A
A
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A
A
A
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A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
A
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
N
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N
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N
N
N
N
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N
N
N
N
N
N
H
U
U
U
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A
A
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A
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H
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H
A
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H
H
H
A
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H
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H
H
H
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H
H
H
A
A
A
A
A
A
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A
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A
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P
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P

H
H
H
H
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H
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H
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H
H
H
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A
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N

N
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G
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N
1. Gambar rajah anak panah di sebelah menunjukkan hubungan
2
antara set M dan set N. TP1 6 1
(a) Nyatakan 7 4
8
(i) imej bagi 2, 5
9
(ii) objek bagi 4.
Set M Set N
(b) Adakah hubungan itu merupakan fungsi? Beri alasan anda.
(c) Nyatakan domain, kodomain dan julat bagi hubungan itu.
2. Gambar rajah anak panah di sebelah menunjukkan suatu x h h (x)
fungsi h. TP2
–2
(a) Nyatakan nilai m. 3
2
(b) Dengan menggunakan tatatanda fungsi, ungkapkan h dalam 4 15
sebutan x. 6 m
y
3. Dengan menggunakan ujian garis mencancang, tentukan sama ada
graf di sebelah merupakan fungsi atau bukan. Jika ya, adakah
fungsi itu fungsi satu dengan satu? Uji dengan melukis garis
mengufuk pada graf itu. TP2
x
0
4. Suatu fungsi f ditakrifkan oleh f : x → |x – 3| untuk domain –1  x  7. TP3
(a) Lakarkan graf f dan nyatakan julat bagi f.
(b) Cari julat nilai x dengan keadaan f (x)  2.
(c) Pada graf yang sama di (a), lakarkan graf y = 2x – 3 dan seterusnya dapatkan nilai x
dengan keadaan |x – 3| = 2x – 3.
f
5. Gambar rajah anak panah di sebelah mewakili sebahagian x hx + k
k x
daripada pemetaan f : x → hx + , x ≠ 0, cari TP3
x
(a) nilai h dan nilai k, 2 17
(b) imej bagi 6 di bawah pemetaan ini. 3
23
x + 2
6. Dua fungsi f dan g ditakrifkan oleh f : x → , x ≠ 2 dan g : x → mx + c. Diberi bahawa
x – 2
–1
–1
g (2) = f (3) dan gf (2) = 5, cari nilai m dan nilai c. TP3
31