Is the x-axis an asymptote of #f(x) = x^2#? Precalculus Functions Defined and Notation Asymptotes 1 Answer Jim H Sep 1, 2015 No. The graph of #f(x) = x^2# does not have any asymptotes. Explanation: Polynomials do not have asymptotes. Answer link Related questions What is an asymptote? What are some examples of functions with asymptotes? How do asymptotes relate to boundedness? Why do some functions have asymptotes? What are the vertical asymptotes of #f(x) = (2)/(x^2 - 1)#? Where are the vertical asymptotes of #f(x) = tan x#? Where are the vertical asymptotes of #f(x) = cot x#? How do I find the vertical asymptotes of #f(x)=tan2x#? How do I find the vertical asymptotes of #f(x) = tanπx#? How do I find the vertical and horizontal asymptotes of #f(x)=x^2/(x-2)^2#? See all questions in Asymptotes Impact of this question 5872 views around the world You can reuse this answer Creative Commons License