# Graph of ln x

• May 4th 2010, 12:22 PM
CSG18
Graph of ln x
What is the range and domain of the graph of ln x ?

Does it have any asymptotes?
• May 4th 2010, 12:39 PM
TKHunny
Have you see the graph?

1) Domain
2) Range
3) Asymptote

It is very likely these definitions will lead you to the correct response.
• May 4th 2010, 12:54 PM
bigwave
ln x - Wolfram|Alpha

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

however, this is not in the domain of ln(x)
• May 4th 2010, 01:12 PM
Bushy
Quote:

Originally Posted by CSG18
Does it have any asymptotes?

Vertical asymptote for what value(s) $\displaystyle x$ is undefined.
• May 4th 2010, 01:36 PM
TKHunny
Quote:

Originally Posted by Bushy
Vertical asymptote for what value(s) $\displaystyle x$ 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.
• May 4th 2010, 03:02 PM
rubencb28
domain (0,infinity)
• May 4th 2010, 03:08 PM
rubencb28