Page 44 - Ranger SPM 2022 - Additional Mathematics

Additional Mathematics SPM Answers
8. (a) (i) -1  x  1 18. x + 2x – 5 = 0
2
(ii) 0  f(x)  7 19. p = –1, q = 3
(iii) When it is tested with horizontal line
test, the line cuts the graph at two Paper 2
points. The type of the function is not 5
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one-to-one. Thus, f (x) does not exist. 1. (a) a = – , h = 2 (b) –5  x  9
-1
4
2
(b) (i) 4 2. (a) t = 2, p = 10 (b) x + 2x – 195 = 0
x 3. 1 : 3; –6
9. (a) x + 8 4. (a) When b changes from –5 to 5, the vertex
2 is to the right of the y-axis. The shape of
(b) 3x + 2 the graph and y-intercept do not change.
6 (b)
1
(c) 7 f(x)
3
CHAPTER 2 Quadratic Functions 12
–4 0 3 x
Quiz on page 23 2
y-axis (c) The new graph is a reflection of the
Quiz on page 26 graph f(x) in the y-axis.
y-axis 5. (a) x  2 or x  6; 0  x  8
(b) 0  x  2 or 6  x  8
SPM PRACTICE 6. (a) (2, 9) (b) –1
2
Paper 1 (c) f(x) = (x – 2) – 9
1. p  –1 or p  7 7. (a) k  2 (b) h = 16, k = 3
2. 2, –16 8. (a) m = 5, n = 15 (b) 16x – 54x + 45 = 0
2
3. 4 : 3 2

4. – 16 9. (a) f(x) = – x – 7  2 + 9
9 2 4
1
5. 0  p  (b) Maximum value = 9
9 4
6. p = 28, q = –143, r = –123 (c)
7. 2x – 3x + 1 = 0 f(x) 7 , 9
2
8. (a) x – 22x + 1 = 0 (b) 0.04555, 21.95 2 4
2
9. (a) –1 (b) k  – 9 0 2 5 7 x
10. x  –1 or x  4 4
11. –9, 17
12. c = 3b 2 –10
16a

13. k  10 (d) f(x) = x – 7  2 – 9
7 2 4
14. 7 10. (a) 48 cm (b) 108 cm 2

15. f(x) = –2 x + 3 2  2 + 27 11. (a) 66 cm (b) 80 cm
2
2
27 3 12. 13.34; 367.65 m
Maximum value = ; x = –
2 2 13. (a) p  5 (b) 6
16. f(x) = – 8  x + 3  2 + 8 14. (a) a = – 6 , p = 6, q = 6
9 2 81
1
17. The value of a changes to –3, the value h (b) (i) 3 m (ii) 12 m
does not change and the value of k changes 3
to 5.
307

4 Jawapan Ranger Mate Tambahan.indd 307 25/02/2022 9:32 AM