OCR FP2 2014 June — Question 5

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2014
SessionJune
TopicPolynomial Division & Manipulation

5 A curve has equation \(y = \frac { x ^ { 2 } - 8 } { x - 3 }\).
  1. Find the equations of the asymptotes of the curve.
  2. Prove that there are no points on the curve for which \(4 < y < 8\).
  3. Sketch the curve. Indicate the asymptotes in your sketch.