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All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0.
A. horizontal asymptotes
B. polynomial
C. vertical asymptotes
D. slant asymptotes

Is the answer D. vertical asymptotes?

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Sarah

  1. No, (B).

    A occurs when the degree of deg(p) <= deg(q)
    C occurs where q(x) = 0 and p(x) ≠ 0
    D occurs when deg(p) = deg(q)+1

    where deg(p) is the degree of polynomial p(x)

    You were obviously grasping, since even your suggested answer did not match its description.

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    Steve

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