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O-LevelAdditional MathematicsFunctions4037/12 · Oct/Nov 2021 · Q14 Marks

The diagram shows the graph of the cubic function y = f(x). The intercepts of the curve with the axes are all integers. [Figure 1.1]

  1. (a)Find the set of values of x for which f(x) < 0.[1]
  2. (b)Find an expression for f(x).[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [B1] -3 < x < 1 x > 5
  2. [B1] for a negative cubic function
  3. [B1] for a cubic function multiplied by 1/3
  4. [B1] for (x+3)(x-1)(x-5)

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About this question

Topic
Functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2021 Paper 1 Variant 2, question 1.

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