Keyword | CPC | PCC | Volume | Score | Length of keyword |
---|---|---|---|---|---|

find asymptotes rational function | 0.85 | 0.6 | 3596 | 43 | 33 |

find | 0.91 | 0.7 | 7968 | 37 | 4 |

asymptotes | 1.38 | 0.4 | 4629 | 37 | 10 |

rational | 1.99 | 0.2 | 4110 | 31 | 8 |

function | 0.11 | 0.4 | 2477 | 6 | 8 |

Keyword | CPC | PCC | Volume | Score |
---|---|---|---|---|

find asymptotes rational function | 1.08 | 0.3 | 8589 | 38 |

find vertical asymptotes of rational function | 1.81 | 0.7 | 3227 | 5 |

find horizontal asymptotes rational function | 1.79 | 0.9 | 8956 | 12 |

how to find asymptotes of rational functions | 0.96 | 0.7 | 1314 | 54 |

find rational function given asymptotes | 1.13 | 0.5 | 8724 | 66 |

find the vertical asymptotes of the function | 1.58 | 0.5 | 2829 | 21 |

a rational function has a vertical asymptote | 1.76 | 0.3 | 4697 | 3 |

how to find horizontal asymptotes of rational | 0.55 | 1 | 4490 | 64 |

vertical asymptotes rules rational functions | 0.94 | 0.5 | 9521 | 40 |

rational function with no vertical asymptote | 0.55 | 0.6 | 8560 | 49 |

find horizontal asymptote rational function | 0.23 | 0.4 | 7286 | 34 |

finding the vertical asymptote of a function | 1.27 | 0.9 | 5209 | 3 |

rational functions horizontal asymptotes | 0.61 | 0.4 | 2567 | 25 |

To find the oblique or slanted asymptote of a function, we have to compare the degree of the numerator and the degree of the denominator. If the degree of the numerator is exactly one more than the degree of the denominator, then the graph of the rational function will be roughly a sloping line with some complicated parts in the middle.

if the degrees are the same, then you have a horizontal asymptote at y = (numerator's leading coefficient) / (denominator's leading coefficient) if the denominator's degree is greater (by any margin), then you have a horizontal asymptote at y = 0 (the x -axis)