AP Calculus Summer Packet Topic 9 Video

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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
 V.A.s

Slide 10  Example 3: Find the asymptotes
 : difference of cubes
 SOAP!
 , no H.A.

Slide 12  Contact
 ddestefa@k12.wv.us