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A-LevelFurther MathematicsRational functions and graphs9231/12 · May/June 2017 · Q911 Marks

The curve C has equation y = (x² - 3x + 6) / (1 - x)

  1. (i)Find the equations of the asymptotes of C.[3]
  2. (ii)Find the coordinates of the turning points of C.[3]
  3. (iii)Find the coordinates of any intersections with the coordinate axes.[2]
  4. (iv)Sketch C.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.

  1. [B1]
  2. [M1A1]
  3. [M1]
  4. [A1]
  5. [A1]
  6. [B1]
  7. [B1]
  8. [B1 FT] Asymptotes correct.
  9. [B1B1] Each branch.

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About this question

Topic
Rational functions and graphs, A-Level Further Mathematics (syllabus 9231). Structured question, 11 marks.
Source
A-Level Further Mathematics, May/June 2017 Paper 1 Variant 2, question 9.

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