AP Calculus Summer Packet Topic 9 Video

Vertical and Horizontal Asymptotes

AP Calculus
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AP Calculus Summer Packet Topic 9 Video

Created 2 years ago

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Vertical and Horizontal Asymptotes
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Tags: AP Calculus
  1. AP Calculus Summer Packet

    Slide 1 - AP Calculus Summer Packet

    • Topic 9: Vertical and Horizontal Asymptotes
  2. Question

    Slide 2 - Question

  3. Question

    Slide 3 - Question

  4. Question

    Slide 4 - Question

  5. Horizontal Asymptotes (H.A.)

    Slide 5 - Horizontal Asymptotes (H.A.)

    • H.A.s are based on the degrees of the polynomials in the numerator (top) and denominator (bottom) of a rational function.
    • The degree of a polynomial is equal to the highest exponent of the variable in the function.
    • Let N = the degree of the polynomial in the numerator
    • Let D = the degree of the polynomial in the denominator
    • If N > D, there is no horizontal asymptote
    • If N < D, then the horizontal asymptote is at y=0
    • If N = D, the the h.a. is
  6. Example 1: Find the asymptotes

    Slide 6 - Example 1: Find the asymptotes

  7. Example 2: Find the asymptotes

    Slide 8 - Example 2: Find the asymptotes

    • V.A.s
  8. Example 3: Find the asymptotes

    Slide 10 - Example 3: Find the asymptotes

    • : difference of cubes
    • SOAP!
    • , no H.A.
  9. Contact

    Slide 12 - Contact

    • ddestefa@k12.wv.us