Page 57 - PRE-U STPM MATHEMATICS (T) TERM 1

Mathematics Term 1 STPM Answers

(b) {y : y < 2} 46. y
(c) Any horizontal lines y = k for –1 , k , 2 will cut the
graph at two points, therefore g is not a one-to-one y = (2 – 3x) y = –(2 – 3x)
function. (0, 2)
y = 2 – x 2
1
18. x , – , x . 1 (1, 1)
2
y
y = |2x – 1| x
– 2 0 2 __ 2
3
{x : x < 0 or x > 1}
1
47. (a) a =
4
1
y = (b) y
|x|
x
0 1 1 _
— f(x) = 1 + e 4x h(x) = In(x – 1)
2 2 4
1
1
1
1
19. x = – , ; x , – , x . 1 0 1 2 x
3 5 3 5
y y = x
y = 4|x | 48. –1.14
49. –1, 1
50. 1.09
51. –2, 1
y = |x–1| 52. 1.31
1 16
55. (a) –2, –9 (b) 6 (c) –2 (d)
x 9
1 0 1 – 56. 3
– –
3 5
57. x = 1 or x = 4
20. A = 2, B = –3, C = 1 58. 3, 81
3
21. 3x + 4x – 2x + 5 60. 101
2
22. 1 + 2 – 3 61. a , 3a
1 – x 2x + 1 (2x + 1) 2 2
23. 1 – 1 2 – 2x + 1 62. 88
2
x – 1 2(x – 1) 2(x + 1) 64. (a) (b)
24. 1 – 1 + 2 y y
x – 3 x + 2 (x + 2) 2
25. 14, x + 1
27. a = 4, b = –20
x
28. 2 – x 0
x
29. k = –7, (2x – 1)(x – 1)(x + 2)(2x + 3)
30. a = 2, b = 2
31. a = 5, b = 10, c = 0; x , –5 or x . 3 (c)
33. a = 1, x = 2, 4; a = –3, x = 2, 4 9 y
36. 3, –1
37. k = 2, a = 10 –π 3 π 0 π – π x
– –
1
38. (a) k = 2; , –1, –3 (b) –1, 1, 4, –1 4 4
2
39. a = 4, b = 3; x = –1, 2; {x : x , –1 or x . 2}
40. k . 1
3
41. (a) – , x , 3 65. y y
4
(b) – 3 , x , 1 or x . 3
x
43. p + q r + 2q pr 0
2
45. (a) –8 , x , 0 (b) –3 < x < – 5
7 x
(c) –1 , x , 0, 3 , x , 4 (d) x , –2, x . 2 0
276

Answers STPM Math T S1.indd 276 3/28/18 4:25 PM