22025 ACJC P1 Q2

22025 ACJC P1 Q2

Junior College 2
5 marks

The graph of \(y = \frac{ax^2 + bx + c}{x + d}\) has a vertical asymptote with equation \(x = -1\) and an oblique asymptote with equation \(y = 2x + 2\). It is given that \(c \neq 2\).

  1. Write down the value of \(d\) and show that \(a = 2\) and \(b = 4\).[3]
  2. Hence find the range of values of \(c\) if the graph has no stationary points.[2]
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