2012 CJC JC2 MYE Q1

2012 CJC JC2 MYE Q1

5 marks
Others>MYE

The equation of a curve is \(y=\frac{3{{x}^{2}}+1}{x\left( x+1 \right)}\).

  1. Write down the asymptotes of the curve.[3]
  2. Sketch the graph of \(y=\frac{3{{x}^{2}}+1}{x\left( x+1 \right)}\), indicating clearly all asymptotes, the coordinates of all stationary points, and any intersections with the axes.[2]

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Answer:\(y=3\), \(x=0\), \(x=-1\)

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