OCR FP2 Specimen — Question 2

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
SessionSpecimen
TopicConic sections

2
\includegraphics[max width=\textwidth, alt={}, center]{e4e1c424-8dd5-4d18-9950-e902de0301b0-2_728_951_486_534} The diagram shows the graph of $$y = \frac { 2 x ^ { 2 } + 3 x + 3 } { x + 1 }$$
  1. Find the equations of the asymptotes of the curve.
  2. Prove that the values of \(y\) between which there are no points on the curve are - 5 and 3 .