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A-LevelMathematicsFunctions9709/22 · Feb/Mar 2021 · Q15 Marks

Sketch, on the same diagram, the graphs of y = |3x – 5| and y = x + 2.

  1. (a)Sketch, on the same diagram, the graphs of y = |3x – 5| and y = x + 2.[2]
  2. (b)Solve the equation |3x – 5| = x + 2.[3]

Mark scheme

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

  1. [B1] Draw V-shaped graph with vertex on positive x-axis
  2. [B1] Draw correct graph of y = x + 2 with smaller positive gradient
  3. [B1] Solve 3x-5=x+2 to obtain x = 7/2
  4. [M1] Attempt solution of linear equation where signs of 3x and x are different.
  5. [A1] Obtain x = 3/4
  6. [B1] State or imply non-modulus equation (3x-5)² = (x+2)²
  7. [M1] Attempt solution of 3-term quadratic equation
  8. [A1] Obtain 3/4 and 7/2

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Feb/Mar 2021 Paper 2 Variant 2, question 1.

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