Rational function graphsAQA A-Level Further Maths: Mind map

Exam questions on Rational function graphs

1. The curve $C$ has equation $y=\dfrac{2x+1}{x-3}$.
   Find the coordinates of the points where $C$ meets the coordinate axes.2 marks
2. The curve $C$ has equation $y=\dfrac{3x}{x+2}$.
   Determine whether $C$ lies above or below its horizontal asymptote when $x$ is large and positive.2 marks
3. The curve $C$ has equation $y=\dfrac{x+3}{x-2}$ and the line $L$ has equation $y=5x-9$.
   Show that $C$ and $L$ meet where $x=1$ and where $x=3$.3 marks