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Math Help - Graph of ln x

  1. #1
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    Graph of ln x

    What is the range and domain of the graph of ln x ?

    Does it have any asymptotes?
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  2. #2
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    Have you see the graph?

    Please provide definitions:

    1) Domain
    2) Range
    3) Asymptote

    It is very likely these definitions will lead you to the correct response.
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  3. #3
    Super Member bigwave's Avatar
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    Cool

    ln x - Wolfram|Alpha

    this might help as you can see ln(0) is -\infty

    however, this is not in the domain of ln(x)
    Last edited by bigwave; May 4th 2010 at 02:54 PM. Reason: clarification
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  4. #4
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    Quote Originally Posted by CSG18 View Post
    Does it have any asymptotes?
    Vertical asymptote for what value(s) x is undefined.
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  5. #5
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    Quote Originally Posted by Bushy View Post
    Vertical asymptote for what value(s) x is undefined.
    BigWave) The logarithm function decreases without bound as x approaches zero from the positive side. There is no such thing as ln(0). It is not a meaningful notation. x = 0 is NOT in the Domain of y = ln(x).

    Bushy) Really?! x = -4 is NOT an asymptote, yet y = ln(x) is undefined at x = -4.

    Mathematics, people! We have rules and definitions and foundations. Jargon-related discussion is likely to be more confusing than helpful.

    CSG18, did you look at that graphical depiction, yet? It should answer your questions. You should still consider carefully the actual definitions of things.
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  6. #6
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    domain (0,infinity)
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  7. #7
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