Page 6 - Modul A+1 Matematik Tambahan Tingkatan 4

3. Dengan menggunakan tatatanda fungsi, ungkapkan hubungan berikut dalam sebutan x.
By using the function notation, express the following relations in terms of x. TP 2
Contoh/Example (a) x g g(x) BAB 1

x f f(x)
8 3

–3 27 4
4
3 64 5
11
4

g (x) = x + 1
3
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f (x) = x – 5
2
(b) (c)
x m m(x) x h h(x)

–1 11 3 1
1 14 6 2
3 19 9 3
x
2
m(x) = x + 10 h(x) = 3

4. Tentukan domain, kodomain dan julat bagi setiap fungsi yang berikut.
Determine the domain, codomain and range for each of the following functions. TP 2

Contoh/Example (a) {(5, a), (6, b), (8, c), (9, a)} (b) Set B
Domain = {5, 6, 8, 9}
Kodomain = {a, b, c} T
–2 1 S
Julat = {a, b, c}
2 6 R
Q
4 13
P
Set A
Set A Set B 1 2 3 4 5 6
Domain = {1, 2, 3, 4, 5, 6}
Domain = {–2, 2, 4} Kodomain = {P, Q, R, S, T}
Kodomain/Codomain = {1, 6, 13} Julat = {Q, R, S, T}
Julat/Range = {1, 13}

5. Lakarkan graf bagi fungsi yang berikut untuk domain –1  x  4. Seterusnya, nyatakan julat yang sepadan dengan domain
yang diberi.
Sketch the graph for the following functions in the domain –1  x  4. Hence, state the corresponding range for the given domain.
TP 3
Contoh/Example (a) f (x) = |x – 3| (b) f (x) = |5 − 3x|

f (x) = x – 3 f (–1) = |–1 – 3| = |– 4| = 4 f (–1) = |5 – 3(–1)| = 8
f (4) = 4 – 3 = 1 f (4) = |5 – 3(4)| = |–7| = 7
f (–1) = –1 – 3 = – 4
f (4) = 4 – 3 = 1 y y
8
y 4 7
3 5
1 1
x x x
–1 0 4 –1 0 3 4 –1 0 5 4
– 3
–3
–4 –4 –7
Julat sepadan/Corresponding range: Julat sepadan: 0  f (x)  4 Julat sepadan: 0  f (x)  8
– 4  f (x)  1

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