Can someone help me with y=ln(x)?

Question

Can anyone tell me the domain and range, x and y intercepts, vertical and horizontal asymptotes, symmetry and even, odd, or none of y=ln(x)

ln= natural log. if you didn't know that, you probably don't really know how to help, but it's worth a try.

I know it's kind of asking a lot, but if anyone know ANY of those answers, I'd greatly appreciate it :) and/or if you can explain how you got those and how sure you are of your answer.

THANK YOU.

Answer 1

For y = ln(x)

Domain is (0, infinity)             Note that at 0, it does not exist.

Range (-infinity, infinity)

x-intercept: (1,0)

no y-intercept

no symmetry

To get this, you have to know that ln(x) is the inverse of e^x. Just reflect y = e^x on the line y=x and you will get the graph for y = ln(x)

So essentially, all the properties get "reversed".

Hope that helped. For these questions, very useful to just look at a graph. For a more mathematical explanation, I suggest going through a math textbook.

Answer 2

I think this link will help you

See the 9th question of this file.

http://www.math.fau.edu/Pina/WebSite/FF-...

wish it helps

Answer 3

Natural log (it's 'ln' and not 'nl' because the language it was originally written about in was not english) is the inverse of the function y = e^x.  If you know the domain, range, x and y intercepts, asymptotes, and symmetry of that function then you can probably figure out what the answers will be.

Nevertheless, the domain is all real numbers such that x>0, range is negative infinity to positive infinity, the x intercept is at x = 1, there is no y intercept, there is no horizontal asymptote, the vertical asymptote is at y=0, and there is no symmetry.  

Sure of the answers.

Hope this helps.