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A-LevelMathematicsFunctions9709/31 · Oct/Nov 2022 · Q14 Marks

Sketch the graph of y = |2x + 1|.

  1. (a)Sketch the graph of y = |2x + 1|.[1]
  2. (b)Solve the inequality 3x + 5 < |2x + 1|.[3]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.

  1. [B1] (a) Show a recognisable sketch graph of y = |2x + 1|
  2. [M1] (b) Find x-coordinate of intersection with y = 3x + 5
  3. [A1] (b) Obtain x = -6/5
  4. [A1] (b) State final answer x < -6/5 only

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2022 Paper 3 Variant 1, question 1.

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