Page 15 - PRAKTIS HEBAT ADDMATHS TG4

Additional Mathematics Form 4 Answers
(b) (b) Domain : –8 < x < 12
y
Range/ Julat : 0 < f (x) < 10
–1
(c) 8
58
8. m = –6, n = 20
37
26 HOTS PRACTICES PAK-21
4x – 16x – 29
2
1. (a) q(x) = —–––––––––––
x 9
–1 0 37 3 4x – 16x – 23
2
21 (b) pq(x) = —–––––––––––
3
0 < y < 58 –1
2. (a) (c) No, (pq) is not a function.
f(x) Tidak, (pq) bukan fungsi.
–1
9
Pract ice
5 spm 2 Quadratic Functions
Fungsi Kuadratik
1 x
–2 0 2.5 3 PAPER 1
1. x = 1.854, x = –4.854
(b) 0 < f(x) < 9 (c) x = 1, x = 4 2. x = 3.098, x = –2.098
3. (a) a = 3, b = –4; a = –3, b = 2 3. x = 3.225, x = 0.7753
4
16
(b) x = —, x = — 4. x = 0.719, x = 2.781
9 9 5. x – 3x – 4 = 0
2
29
4. (a) m = 3, n = –2 (b) f (x) = 81x – 80 6. (a) sum of roots/ hasil tambah punca = – —
4
6
(c) f (x) = 3 x – (3 – 1) product of roots/ hasil darab punca = – —
n
n
n
5
x – n
5. (a) f (x) = —––– (b) m = 3, n = 4 2 6
–1
m (b) 6x + 29x – 5 = 0
6. (a) y 7. x = –4.089, x = 1.589
8. –3
9. 2x + 7x – 4 = 0
2
10. k = 8, k = –8
x
0 11. (a) –5 (b) 6
–4
(c) x – 3x + 2 = 0
2
12. (a) –8 (b) 12
13. p = 1, p = 11
(b) This function has inverse function because when
tested with the horizontal line test, the line cuts 14. p = –3, q = –1
the graph at one point only. 15. (a) 2 and/ dan 5 (b) b = –7, c = 10
Fungsi ini mempunyai fungsi songsang kerana 16. x – 14x + 24 = 0
2
apabila diuji dengan ujian garis mengufuk, garis
itu memotong graf pada satu titik sahaja. 17. (a) 2x + 13x + 15 = 0 (b) 18x – 9x – 5 = 0
2
2
x
+
–1
g (x) = AB4 18. x – 4x + 4 = 0
3

2
(c) y 2
q
g 19. p = —
g –1 20. x < –3 or/ atau x > –1
x 21. –3 < x < 4
–4 0 1
–4 22. x , –3 or/ atau x . —
4
1
23. –6 < x < —
2
7. (a) y f(x) = 2x – 8 24. (a) two different real roots
x + 8 dua punca nyata yang berbeza
f (x) = 2 (b) two equal real roots
–1
4 dua punca nyata yang sama
22
x 25. p , —
–8 0 4 15
26. m = 0, m = 8
–8
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