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O-LevelAdditional MathematicsFunctions4037/21 · May/June 2024 · Q15 Marks

On the axes, sketch the graph of y=|4x-6|, showing the points where the graph meets the axes.

  1. (a)On the axes, sketch the graph of y=|4x-6|, showing the points where the graph meets the axes.[2]
  2. (b)Solve the equation |4x-6|=|2x|.[3]

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Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [B2] Fully correct graph with intercepts marked
  2. [B1] for a graph of correct shape with vertex on x-axis
  3. [M1] 4x – 6 = 2x and 4x – 6 = –2x oe
  4. [A2] x = 3 x = 1
  5. [B1] 12x² – 48x + 36 = 0 oe
  6. [M1] Factorises or solves
  7. [A1] x = 1, x = 3

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About this question

Topic
Functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2024 Paper 2 Variant 1, question 1.

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