Page 6 - Modul A+Matematik Tamb Tg 4_Pan Asia Publications

Uji Kendiri 1.1

1. Fungsi f ditakrifkan oleh f : x → |3x – x |. 2. Diberi g(x) = + mx, x ≠ 0. Cari nilai m jika g(5) = 16.
5
2
A function f is defined as f : x → |3x – x |. 5 x
2
1
x
(a) Cari imej bagi –2, 5 dan . Given g(x) = + mx, x ≠ 0. Find the value of m if g(5) = 16.
3
1
Find the image 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
KBAT Mengaplikasi m = 3
3. Fungsi h ditakrifkan oleh h : x → |x + 2|. Cari domain
©PAN ASIA PUBLICATIONS
(a) f (–2) = |3(–2) – (–2) | = |–10| = 10 bagi h(x) > 3.
2
f (5) = |3(5) – (5) | = |–10| = 10 The function of h is defined by h : x → |x + 2|. Find the domain
2
1
1
1
1
–
f   = |3     2 | = |1 – | = 8 for h(x) > 3.
3
9
9
3
3
(b) f (k) = 5k |x + 2| > 3
|3(k) – k | = 5k x + 2 > 3 dan x + 2 < –3
2
3(k) – k = 5k atau 3(k) – k = –5k x > 1 x < –5
2
2
–k – 2k = 0 –k + 8k = 0
2
2
k = 0, –2 k = 0, 8
∴ k = –2, 0, 8
4. Diberi m(x) = 3x – 5 , x ≠ 3. Suatu nilai x memeta kepada 5. Fungsi k ditakrifkan oleh k : x → ax + b. Diberi k(3) = 2
x – 3 dan k(1) = –5, cari nilai a dan nilai b.
dirinya sendiri di bawah fungsi m. Cari nilai-nilai x. A function k is defined by k : x → ax + b. Given k(3) = 2 and
3x – 5 k(1) = –5, find the value of a and of b.
Given m(x) = , x ≠ 3. A value of x maps to itself under the
x – 3
function m. Find the values of x. 3a + b = 2 ……1
a + b = –5 ……
3x – 5 = x 1 – 
x – 3 2a = 7
3x – 5 = x (x – 3)
3x – 5 – x + 3x = 0 a = 7
2
2
–x + 6x – 5 = 0 7
2
x = 1, 5 2 + b = –5
b = –8 1
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 set B.
x g(x)
–4 4
–1 4 4 5
5 7 6 6
–8 t
6 18

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

5

01_Modul A+ MateTam_Tg4_Bab01_1-15_Final.indd 5 3/9/20 6:46 PM