Cambridge Assessment International Education · Cambridge O Level
4037 Additional Mathematics
Paper 1 · Variant 3
October/November 2024 · Component 13
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Questions
Question
Question 1
6 marks
(a)
Find the coordinates of the stationary point of the curve whose equation is y=(x+3)(x−4).
(b)
On a set of coordinate axes, sketch the graph of y=∣(x+3)(x−4)∣, and write down the coordinates of the points where the graph meets the x-axis and the y-axis.ExcelInExam original diagram
(c)
Given that k>0, write down the values of k for which the equation ∣(x+3)(x−4)∣=k has exactly two distinct real roots.
ExcelInExam original presentationExcelInExam original presentation of the assessed mathematical task. Refer to the official paper for the original examination wording.ExcelInExam original presentation of the assessed mathematical task. Refer to the official paper for the original examination wording.
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