OCR FP2 2013 January — Question 2

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2013
SessionJanuary
TopicPolynomial Division & Manipulation

2 The equation of a curve is \(y = \frac { x ^ { 2 } - 3 } { x - 1 }\).
  1. Find the equations of the asymptotes of the curve.
  2. Write down the coordinates of the points where the curve cuts the axes.
  3. Show that the curve has no stationary points.
  4. Sketch the curve and the asymptotes.