Question

Determine the domain, range, and vertical asymptote.Graph f(x)=-6-Inx

Answer 1

start with the parent graph of
y = ln x, which you should know how to sketch

Now graph y = -lnx, which would be a reflection in the x-axis
now drop that graph 6 units down to get
y = -lnx - 6

You should be able to answer your questions from that sketch.

Answer 2

First I have to figure out the domain,rande and vertical asymptotes

Answer 3

we can take logs of only positive numbers, so

- domain: x>0
- range: y is any real number
- no asymptotes

Answer 4

Thx! could u help me with graphing this

Answer 5

I described it for you in my reply above

The other option is to calculate about 8-10 ordered pairs and determine the sketch

e.g. (1, -6), (2, -6.7), (5, -7.6) , (.5, -5.3), (.01, -10.6) etc.