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Model answers
4 (a)
y
5
4
3
2
1
– 5
– 4
– 3 – O
2 – 1 1 2 3 4 5
x
– 1
– 2
– 3
– 4
– 5
(b) 2·5
5 (a) ( – 2, – 1) in table
y
10
– – 2
–
3 1
O
1 2 3
– 10
x
(b) – 2 to – 1·7, – 0·4 to – 0·2, 2·0 to 2·2
(c) y = 2x + 2 drawn,
– 2·3 to – 2·0, – 0·6 to – 0·3, 2·5 to 2·8
6 Manipulate x 3 – 2x – 1 = 0 to give x 3 = 2x + 1.
The line to draw is y = 2x + 1.
y
8
4
y = 2x + 1
– 2 – 1 O
1 2
– 4
x
y = x 3
– 8
The solution is where the line cuts the curve.
x = – 1, – 0·6 or 1·6
IGCSE Revision Guide for Mathematics Model Answers © 2004, Hodder & Stoughton Educational
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