2015 NJC P1 Q2

2015 NJC P1 Q2

6 marks

On separate diagrams, sketch the following curves, labelling clearly any asymptotes, axial intercepts and turning points.

  1. \(y=\frac{1}{\mathrm{f}(x)}\)[3]
  2. \(y=\mathrm{{f}'}(x)\)[3]

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Answer:(i) Asymptotes \(y=1/2\), \(x=9\), \(x=13\); \(y\)-intercept \((0,-1/5)\); turning points \((1,-1/4)\), \((11,-1/2)\). (ii) Asymptotes \(x=-6\), \(x=6\), \(y=0\); \(x\)-intercepts \((1,0)\), \((11,0)\).

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