OCR MEI FP1 2010 January — Question 7

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJanuary
TopicPartial Fractions
TypeCurve sketching with asymptotes

7 A curve has equation \(y = \frac { 5 x - 9 } { ( 2 x - 3 ) ( 2 x + 7 ) }\).
  1. Write down the equations of the two vertical asymptotes and the one horizontal asymptote.
  2. Describe the behaviour of the curve for large positive and large negative values of \(x\), justifying your answers.
  3. Sketch the curve.
  4. Solve the inequality \(\frac { 5 x - 9 } { ( 2 x - 3 ) ( 2 x + 7 ) } \leqslant 0\).