How can you find asymptote for the function y=x / 4 + 16/x

Question

Gerardo Heath

Mathematics

14 July, 00:46

How can you find asymptote for the function y=x / 4 + 16/x

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Marlee Christensen · Answer 1

Note that the first term of this function has no asymptote, as there is no division by zero. On the other hand, 16/x is undefinited at x=0. Thus, the vertical asymptote is x=0.

Were you asked to consider horiz. asy. as well? This function has none, since y=x/4 continues to grow; its slope is 1/4.