0580/21 Oct/Nov 2022, Question 21: Recognising and Sketching Graph Shapes
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks
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The question, in short
Sketch a cubic graph through the origin with turning points at x = 0 and x = 4, positive gradient outside 0 to 4 and negative gradient between them.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1Gradient changes from positive to negative at x = 0, so a maximum at the origin
- 2Gradient changes from negative to positive at x = 4, so a minimum at x = 4, below the x-axis (fourth quadrant)
- 3Draw a cubic rising to the maximum at O, falling to the minimum at x = 4, then rising again
AnswerCorrect sketch with maximum at origin and minimum in fourth quadrant
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Also searched as: 0580/21/O/N/22 · 0580_w22_qp_21 · 0580 w22 21 · question 21.
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