AP Calculus Summer Packet Topic 9 Video
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Tags: AP Calculus
Slide 1 - AP Calculus Summer Packet
- Topic 9: Vertical and Horizontal Asymptotes
Slide 2 - Question
Slide 3 - Question
Slide 4 - Question
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
Slide 6 - Example 1: Find the asymptotes
Slide 8 - Example 2: Find the asymptotes
Slide 10 - Example 3: Find the asymptotes
- : difference of cubes
- , no H.A.
Slide 12 - Contact