OCR FP2 2006 June — Question 3

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2006
SessionJune
TopicComposite & Inverse Functions

3 The equation of a curve is \(y = \frac { x + 1 } { x ^ { 2 } + 3 }\).
  1. State the equation of the asymptote of the curve.
  2. Show that \(- \frac { 1 } { 6 } \leqslant y \leqslant \frac { 1 } { 2 }\).