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O-LevelAdditional MathematicsEquations, inequalities and graphs4037/12 · May/June 2012 · Q76 Marks

Sketch the graph of y = |x² − x −6|, showing the coordinates of the points where the graph meets the coordinate axes.

(i)Sketch the graph of y = |x² − x −6|, showing the coordinates of the points where the graph meets the coordinate axes.[3]
(ii)Solve |x² − x −6| = 6.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

[B1] B1 for shape
[B1] B1 for x = -2, 3
[B1] B1 for y = 6
[B1] B1 for one correct answer
[B1] B1 for a second correct answer
[B1] B1 for a third and fourth correct answer

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About this question

Topic: Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source: O-Level Additional Mathematics, May/June 2012 Paper 1 Variant 2, question 7.

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