Page 46 - Spotlight A+ SPM Additional Mathematics Form 4 & 5

SPM MODEL PAPER

Paper 1

Time: 2 hours
Section A
(64 marks)
Instruction: Answer all questions
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1. (a) Diagram 1 shows a part of graph for a (ii)
function of y = f(x).

y
y = f(x)

x
0 2
–3

Diagram 1
SPM MODEL PAPER (b) A function f is derived by f : x ˜ , x ≠ 0 2. (a) Diagram 2 shows a graph of function f for
State whether the function of f

(i) is a discrete or continuous,
(ii) has an inverse function or not.
domain 0 < x < 4 and its inverse function
[2 marks]
f .
–1
a
x
y

such as a is a constant. Given f (2) = 2, find
(i) the value of a,
17
(ii) f (8). –1 [3 marks] A (4, 12)
f
Answer: –1
(a) (i) f B
x
0
(ii) –4
Diagram 2
Based on the graph, determine
–1
(b) (i) (i) the domain of f ,
(ii) the coordinate of point B on the graph
–1
of f that corresponding with the point
A on the graph of f. [2 marks]
Answer:
(i)

(ii)

418

Model Paper Spotlight Add Math F5.indd 418 20/04/2021 10:37 AM