Mathematics · Oct / Nov 2022 · Paper 21 · Question 21
0580
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The question as text
The graph of a cubic function has two turning points. When x 0 1 and when x 4 2 the gradient of the graph is positive. When x 0 4 1 1 the gradient of the graph is negative. The graph passes through the origin. Sketch the graph. y x O [2]
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Correct sketch with maximum at origin and minimum in fourth quadrant 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 4 4 4 4 6 6 6 6 -1 -1 -1 -1 -2 -2 -2 -2 -3 -3 -3 -3 -4 -4 -4 -4 -5 -5 -5 -5 [2]
B1 for any cubic with exactly 2 distinct turning points
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