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A-LevelMathematicsFunctions9709/32 · Feb/Mar 2020 · Q14 Marks

Sketch the graph of y = |x − 2|.

  1. (a)Sketch the graph of y = |x − 2|.[1]
  2. (b)Solve the inequality |x − 2| < 3x – 4.[3]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2020). The mark or mark type is shown in brackets.

  1. [B1] Make a recognisable sketch graph of y = |x-2|
  2. [M1] Find x-coordinate of intersection with y = 3x – 4
  3. [A1] Obtain x = 3/2
  4. [A1] State final answer x > 3/2 only
  5. [M1] Solve the linear inequality 3x-4>2-x, or corresponding equation
  6. [A1] Obtain critical value x = 3/2
  7. [A1] State final answer x > 3/2 only
  8. [M1] Solve the quadratic inequality (x-2)² <(3x-4)², or corresponding equation
  9. [A1] Obtain critical value x = 3/2
  10. [A1] State final answer x > 3/2 only

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2020 Paper 3 Variant 2, question 1.

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