Rational functions and graphs: CAIE A‑Level Further Maths questions
Every CAIE A-Level Further Maths exam question on 1.2 Rational functions and graphs, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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All 2 questions on Rational functions and graphs, as a list
- June 2024, Paper 1, Q6 (15 marks): x 2 ax + , where a 1 6 The curve C has equation y + 2 5 . = x + 2 2 (a) Find the equations of the asymptotes of C. [3] (b) Show that C has no stationary points.
- Specimen, Paper 1, Q7 (17 marks): x 2 - 3 x - 2 7 The curve C has equation y = x . 2 - 2 x + 1 (a) State the equations of the asymptotes of C. [2] (b) Show that y ⩽ 12 25 at all points on C. [4]
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![June 2024 Paper 1, question 6: x 2 ax + , where a 1 6 The curve C has equation y + 2 5 . = x + 2 2 (a) Find the equations of the asymptotes of C. [3] (b) Show that C has no stationary points.](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923111-jun24-06-qp.webp)
![Specimen Paper 1, question 7: x 2 - 3 x - 2 7 The curve C has equation y = x . 2 - 2 x + 1 (a) State the equations of the asymptotes of C. [2] (b) Show that y ⩽ 12 25 at all points on C. [4]](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/923101-spec-07-qp.webp)