Page 10 - Praktis Hebat 2021 - Additional Mathematics F4

Additional Mathematics Form 4 Answers
ANSWERS

f(x)
PRACTICE Functions 16
1 Fungsi 14
12
10
PAPER 1
8
1. (a) The relation is a function because each object 6
has only one image. 4
Hubungan ini ialah fungsi kerana setiap objek 2
mempunyai satu imej sahaja. x
2. (a) Vertical line test –2 –1 0 1 2 3
Ujian garis mencancang 4 1
(b) This graph is not a function because when tested 13. (a) x = 1, x = – — (b) x = 1, x = —
5
3
with the vertical line test, the line cuts two points
3
2
on the graph. 14. (a) x = 1, x = — (b) x = –1, x = – —
Graf ini bukan fungsi kerana apabila diuji dengan 5 3
ujian garis mencancang, garis itu memotong dua
titik pada graf. 15. (a) (i) h(3)= 120 (ii) h(6)= 96
3. f : x → x 3 (b) (t = 0, t = 8)
4. (a) Domain = {a, b, c, d} 16. (a) fg(x) = 8x – 5 (b) gf(x) = 8x – 13
Codomain / Kodomain = {1, 2, 5, 7, 8} 17. (a) f (x) = 16x + 5 (b) g (x) = 4x – 21
2
2
Range / Julat = {1, 5, 7, 8} 18. p = 5, q = –1
(b) Domain = {–1, 0, 1, 2} 1
Codomain / Kodomain = {0, 1, 2, 3, 4, 5} 19. (a) x = — (b) x = 32
2
1
Range / Julat = {0,1,2,3,4} 20. x = —
5. (a) f(3) = 9 4
(b) f(–1) = –7 21. (a) g(x) = 5x (b) g(x) = x 2
3
(c) x = 3, x = – — 22. (a) 9x – 2 (b) x – 1
2
2
23. (a) g(x) = 4 – x (b) g(–3) = 7
6. (a) f(2) = –7 (b) f(–8) = 5
7
7. (a) x = 3 (b) x = 3, x = –2 (c) x = —
6
8. (a) f(–1) = –11 (b) x = –8 1 1
9. (a) p = 3 (b) x = –1 24. (a) f(x) = —x + 1 (b) x = —
2
3
9
10. (a) f(–1) = –6 (b) x = 0, x = – — 25. (m = 5, n = 2)
4
11. (a) 0 < f(x) < 6 (b) 0 < f(x) < 13 26. (a) p = –2 (b) q = 4, q = –4
12. (a) f : x → |2x – 3|, –3 < x < 3 27. p = 3, q = –1
5
2
x –3 0 1.5 3 28. (a) g(x) = —x + 1 (b) g(x) = 5x + 30x + 41
2
2 4
f(x) 9 3 0 3 7
29. (a) g(x) = 2x + 1 (b) x = 3, x = –
f(x) 30. (a) f (2) = 1 (b) f (5) = 2 11
–1
–1
10 (c) f (10) = 3
–1
9
8 31. (a) f is a function because the type of function for the
7 arrow diagram above is a one - to - one function.
6 Each element in the domain is mapped to only
5 one element in the codomain. Therefore, the
4 function f has an inverse function.
3 f ialah suatu fungsi kerana jenis fungsi bagi
2 gambar rajah anak panah di atas ialah fungsi
1 satu dengan satu. Setiap unsur dalam domain
x dipetakan kepada hanya satu unsur dalam
–3 –2 –1 0 1 2 3
kodomain. Oleh itu, fungsi f mempunyai fungsi
(b) f : x → |5x – 5|, –2 < x < 3 songsang.
(b) f is not a one - to - one function because two
x -2 0 1 3
different objects have the same image. Therefore,
f(x) 15 5 0 10 the function f has no inverse function.
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ANS HEBAT ADD MATH F4 1P.indd 1 09/04/2021 3:49 PM