All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0.

Question

A. horizontal asymptotes
B. polynomial
C. vertical asymptotes
D. slant asymptotes

Is the answer D. vertical asymptotes?

Answer 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.