Question 10 — IGCSE 0580 March 2024 Paper 42
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Numbers · The four rules. Worth 12 marks.
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Question text
10 The table shows some values for y = 2x3+6x2-2.5 .
x -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
y 3.75 5.5 4.25 1.5 -2.5 -0.75
(a) Complete the table. [3]
(b) On the grid, draw the graph of y = 2x3+6x2-2.5 for -3 G x G 1 .
y
6
5
4
3
2
1
– 3 – 2 – 1 0 1 x
– 1
– 2
– 3
– 4
[4]
(c) By drawing a suitable line on the graph, solve the equation 2x3+6x2 = 4.5 .
x = .................... or x = .................... or x = .................... [3]
(d) The equation 2x3+6x2-2.5 = k has exactly two solutions.
Write down the two possible values of k.
k = .............................. or k = .............................. [2]
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