Further Mathematics 9231: Rational functions and graphs Topical Past Paper Questions
Cambridge AS & A Level Further Mathematics (9231) past-paper questions on Rational functions and graphs, free. This topic is frequently examined across 21 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
The curve C has equation $y = f(x)$, where $f(x) = \frac{2x^{2} - x + 1}{2x^{2} - 2x}$. (a) Find the equations of the asymptotes of C. (b) Find the coordinates of any stationary points on C, giving your answers correct to 1 decimal place. (c) Sketch C. (d) Sketch the curve with e…
The curve $C$ has equation $y = \frac{10x^{2} - 11x - 18}{10x - 18}$. (a) Find the equations of the asymptotes of C. [3] (b) Show that C has no stationary points. (c) Sketch C, stating the coordinates of the points of intersection with the axes. (d) Sketch the curve with equation…
The curve $C$ has equation $y=\frac{4x^{2}+x+1}{2x^{2}-7x+3}$. (a) Find the equations of the asymptotes of C. [2] (b) Find the coordinates of any stationary points on C. [4] (c) Sketch C, stating the coordinates of any intersections with the axes. [5] (d) Sketch the curve with eq…
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