Identifying as critical values $-\frac{1}{2}, \frac{2}{3}$ | B1, B1 |

Establishing there are no further critical values | |

Obtaining $2x^2 - 2x - 2$ or equivalent | M1 |
| A1 |

$\Delta = 4 - 16 < 0$ | |

Using exactly two critical values to obtain inequalities | M1 |

$-\frac{1}{2} < x < \frac{2}{3}$ | A1 |

| | (6 marks) |

Identifying $x = -\frac{1}{2}$ and $x = \frac{2}{3}$ as vertical asymptotes | B1; B1 |

Two rectangular hyperbolae oriented correctly with respect to asymptotes in the correct half-planes | M1 |

Two correctly drawn curves with no intersections | A1 |

As above | M1, A1 |

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