Page 11 - 1202 Question Bank Additional Mathematics Form 5

SPM Assessment

PAPER 1

Time: 2 hours
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Section A
[64 marks]
Answer all questions.

1. (a) Diagram 1 on the answer space shows a part of 2. (a) Given that the range of y = f (x) + 1 is
the graph of a function y = f (x) for the domain –2 < y < 3, find the range of f (x). [1 mark]
0 < x < 3. On the same axes, sketch the (b) Given that f : x → x + 2 and gf : x → x + 4x + 2,
2
corresponding part of the graph y = f (x) and find
–1
1
state its domain. [2 marks] (i) g(2),
(b) The function F maps (x, y) onto (x – y, x + 2y) and (ii) the values of x if fg(x) = 9. [4 marks]
A is the point (2, 3). F maps A onto B and B onto Answer:
C. Find the coordinates of points B and C. (a)
[2 marks]
(c) If f : x → 3 – 4x, find f (–3). [1 mark]
–1
Answer:
(a) y

3

2
y = f(x)
1

x (b) (i)
0 1 2 3 4
Diagram 1

(b)

(ii)

(c)

82

09_1202 QB AMath F5.indd 82 04/12/2021 9:25 AM