Page 8 - Modul A+1 Matematik Tambahan Tingkatan 4

Uji Kendiri 1.1

1. Fungsi f ditakrifkan oleh f : x → |3x – x |. 5
2
x
2 2. Diberi g(x) = + mx, x ≠ 0. Cari nilai m jika g(5) = 16. BAB 1
5
Function f is defined by f : x → |3x – x |. KBAT Mengaplikasi Given g(x) = + mx, x ≠ 0. Find the value of m if g(5) = 16.
1
(a) Cari imej bagi –2, 5 dan . x
3
1
Find the images of –2, 5 and . g(5) = 16
3
5
(b) Diberi imej bagi k ialah 5k, cari nilai-nilai yang + m(5) = 16
mungkin bagi k. 5
Given the image of k is 5k, find the possible values of k. 5m = 15
m = 3
(a) f (–2) = |3(–2) – (–2) | = |–10| = 10
2
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f (5) = |3(5) – 5 | = |–10| = 10 3. Fungsi h ditakrifkan oleh h : x → |x + 2|. Cari domain
2
1
1
1
1
f   = |3     2 | = |1 – | = 8 bagi h(x) > 3.
–
3
3
9
3
9
The function of h is defined by h : x → |x + 2|. Find the domain
(b) f (k) = 5k for h(x) > 3.
|3(k) – k | = 5k
2
3k – k = 5k atau 3k – k = –5k |x + 2| > 3
2
2
–k – 2k = 0 –k + 8k = 0 x + 2 > 3 atau x + 2 < –3
2
2
k = 0, –2 k = 0, 8 x > 1 x < –5
∴ k = –2, 0, 8
4. Diberi m(x) = 3x – 5 , x ≠ 3. Suatu nilai x memetakan 5. Fungsi k ditakrifkan oleh k : x → ax + b. Diberi
x – 3 k(3) = 2 dan k(1) = –5, cari nilai a dan nilai b.
kepada dirinya sendiri di bawah fungsi m. Cari nilai- Function k is defined by k : x → ax + b. Given k(3) = 2 and
nilai x. k(1) = –5, find the values of a and b.
3x – 5
Given m(x) = , x ≠ 3. A value of x maps to itself under
x – 3 3a + b = 2 ……
the function m. Find the values of x. a + b = –5 ……
 – :
3x – 5 = x 2a = 7
x – 3 7
3x – 5 = x(x – 3) a = 2
3x – 5 – x + 3x = 0 7
2
–x + 6x – 5 = 0 2 + b = –5
2
x = 1 atau x = 5 1
b = –8
2
6. Rajah di bawah menunjukkan hubungan antara set A 7. Gambar rajah anak panah di bawah menunjukkan fungsi g.
dengan set B. The arrow diagram below shows function g.
The diagram below shows the relation between set A and x g(x)
set B.
–4 4
4 5
–1 4 6 6
5 7 –8 t
6 18
(a) Nyatakan nilai t.
Set A Set B State the value of t.

(a) Nyatakan jenis hubungan tersebut. (b) Dengan menggunakan tatatanda fungsi, tulis
State the type of relation. hubungan bagi g(x).
(b) Nyatakan julat bagi hubungan tersebut. By using the function notation, write the relation of
State the range for the relation. g(x).
(c) Cari imej bagi –5 di bawah pemetaan ini.
(a) Hubungan banyak kepada satu Find the image of –5 under this mapping.
(b) {4, 18} (a) 8
(b) g(x) = |x|
(c) 5

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