Page 6 - 1202 Question Bank Additional Mathematics Form 4

Section B

11. (a) The diagram shows a graph for the function (ii)
SPM 1
|
|
CLONE f : x → 3 – x for the domain –2 < x < 9.
2
f(x)
(–2, 4)

(iii)

1
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x
0 4 9

State
(i) the object for 4, [1 mark]
(ii) the image for 1, [1 mark]
(iii) the domain for 0 < f (x) < 1. [2 marks] 12. (a) Sketch the graph f (x) = |2x – 1| for –1 < x < 2.
(b) The diagram shows an inverse function where [3 marks]
x ≠ –q. (b) Given f : x → 2x.
(i) Find
g –1 p
3
2
x –––– (a) f , (b) f .
q + x
[2 marks]
n
3 –2 (ii) Hence, find the expression for f , in terms
of n where n = 1, 2, 3,…. [1 mark]
(iii) Find the value of x if f (x) = 16. [2 marks]
5
1 –4
–
2 Answer:
(a)
Find
(i) the value of p and q, [1 mark]
(ii) g(x) with the value of p and q from (i),
[2 marks]
(iii) the value of x if g(x) = 8. [1 mark]
Answer:
(a) (i)
(b) (i) (a)
(ii)

(b)

(iii)

(ii)

(b) (i)
(iiii)

4 Question 11(a)(iii): 5
SOS TIP 0 < f (x) < 1 is the same as 0 < |3 – x| < 1. SOS TIP
1
2
Question 12:
44
(a) Sketch the graph y = 2x – 1. Then, reflect the part of the graph that is below the x-axis on the x-axis.
(b) After finding the expression for ff (x) and fff (x), observe for the pattern formed. 5

01_1202 QB AMath F4.indd 5 09/05/2022 11:30 AM