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A-LevelFurther MathematicsCurve SketchingMay/June 2013Paper 1 Q1013 Marks

The curve C has equation y = (2x²-3x-2)/(x²-2x+1). State the equations of the asymptotes of C. Show that y ≤ 25/12 at all points of C. Find the coordinates of any stationary points of C. Sketch C, stating the coordinates of any intersections of C with the coordinate axes and the asymptotes.

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The correct answer is . This question tests the candidate's understanding of curve sketching within the Further Mathematicssyllabus. The examiner's mark scheme requires...

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Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

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About This A-Level Further Mathematics Question

This structured question appeared in the Cambridge A-Level Further Mathematics (9231) May/June 2013 examination, Paper 1 Variant 2. It tests the topic of Curve Sketching and is worth 13 marks.

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