Oblique asymptotes of rational functionsAQA A-Level Further Maths: Mind map

Exam questions on Oblique asymptotes of rational functions

1. The curve $C$ has equation $y=\dfrac{x^2+x-6}{x-1}$.
   Show that $C$ lies below its oblique asymptote when $x>1$.2 marks
2. The curve $C$ has equation $y=\dfrac{2x^2-3x+1}{x+2}$.
   Show that $C$ does not meet its oblique asymptote.2 marks
3. The curve $C$ has equation $y=\dfrac{2x^2+3}{x-1}$.
   Find the equations of all the asymptotes of $C$.3 marks