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Does a horizontal line have horizontal asymptotes?

  1. Oct 21, 2012 #1
    For example, y = 7. Are there an infinite number of asymptotes at any y value that isn't 7? If so, how would I format this statement on my homework?

    *edit* oops sorry, I meant to post this in homework help
  2. jcsd
  3. Oct 21, 2012 #2
    I don't think so.

    Asymptotes are usually defined as lines that a given function approaches infinitely close, but never reaches. Under this definition, a line has no asymptotes.
  4. Oct 21, 2012 #3


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    Science Advisor

    Except functions like ##\frac{\sin x}{x}## cross their asymptote an infinite number of times.

    Formal definition from Wikipedia:
    This is really iffy. You could argue either way.
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