Specialist2023 Exam 2 Section A · Q2CAS active1 mark

Rational function with given asymptotes

The graph of $y = \frac{x^3}{ax^2 + bx + c}$ has asymptotes given by $y = 2x + 1$ and $x = 1$ . The values of $a$ , $b$ and $c$ are, respectively

1 mark

2, -4, 2

\frac{1}{2}, -\frac{1}{4}, -\frac{1}{4}

\frac{1}{2}, \frac{1}{4}, -\frac{3}{4}

\frac{1}{2}, -\frac{1}{4}, -\frac{3}{4}

2, -4, -8

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