AQA FP1 2007 June — Question 7

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2007
SessionJune
TopicCurve Sketching
TypeSketch rational with linear numerator

7 A curve has equation $$y = \frac { 3 x - 1 } { x + 2 }$$
  1. Write down the equations of the two asymptotes to the curve.
  2. Sketch the curve, indicating the coordinates of the points where the curve intersects the coordinate axes.
  3. Hence, or otherwise, solve the inequality $$0 < \frac { 3 x - 1 } { x + 2 } < 3$$