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9231 P13 - Jun 2023 - Q07
4219

The curve C has equation \(y = \frac{x^2 + 2x + 1}{x - 3}\).

  1. Find the equations of the asymptotes of C.
  2. Find the coordinates of the turning points on C.
  3. Sketch C.
  4. Sketch the curves with equations \(y = \left| \frac{x^2 + 2x + 1}{x - 3} \right|\) and \(y^2 = \frac{x^2 + 2x + 1}{x - 3}\) on a single diagram, clearly identifying each curve.
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