# 004 Sample Final A, Problem 9

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Graph the function. Give equations of any asymptotes, and list any intercepts.

Foundations |
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What are the vertical asymptotes of ? |

Answer: |

The vertical asymptotes are where is undefined. |

Solution:

Step 1: |
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Since , the vertical asymptotes are and . |

Step 2: |
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The horizontal asymptote is . |

Step 3: |
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There is no intercept since for any . |

Plugging in , we get . So, the intercept is (0,3) |

Final Answer: |
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The vertical asymptotes are and . The horizontal asymptote is . There is no intercept and the intercept is (0,3). |