to graph the function g(x)=-6log_9x, first start with the graph f(x)=log_9x

Now graph the function y=g(x) and use your graph to find the domain and range of g, and any asymtotes that g has

Question

to graph the function g(x)=-6log_9x, first start with the graph f(x)=log_9x

Now graph the function y=g(x) and use your graph to find the domain and range of g, and any asymtotes that g has

anonymous · Answer

$$f(x)=\log_9(x)$$ really might as well be 
$$f(x)=\log(x)$$ with only minor differences 
lets graph it

anonymous · Answer

http://www.wolframalpha.com/input/?i=log_9%28x%29+domain+.1..20 goes through the points $(1,0)$ and $(9, 1)$ also if we went out that far $(81,2)$

anonymous · Answer

domain of the log is $(0, \infty)$ i.e. positive numbers

anonymous · Answer

what does i.e mean

anonymous · Answer

range is $\mathbb{R}$ or $(-\infty, \infty)$ or 
all real numbers 

i.e. "id est" which means simply "that is"

anonymous · Answer

it is not a math term, just something people say

anonymous · Answer

oh hahaha gotcha

anonymous · Answer

so then the retricemptote? x or y= and to what

anonymous · Answer

lololol

anonymous · Answer

assomtote

anonymous · Answer

god damn

anonymous · Answer

no idea how to spell that word lol

anonymous · Answer

asymptote

anonymous · Answer

how the hell does that turn into recipremete

anonymous · Answer

or whatever word

anonymous · Answer

because if you try to write A*S*S here it turns out like this 
retrice

anonymous · Answer

dumbbbb

anonymous · Answer

keeps you from saying 'you are an retriceole'

anonymous · Answer

well good thing for that because what an offensive word

anonymous · Answer

in any case lets see what 
$$g(x)=-6\log_9(x)$$ looks like

anonymous · Answer

the domain is still the same 
all positive numbers
and the range is also the same
all real numbers

anonymous · Answer

http://www.wolframalpha.com/input/?i=-6log_9%28x%29+domain+.1..20

anonymous · Answer

but instead of increasing this one is decreasing because of the $-6$ out front
the asymptote is the $y$ axis aka $x=0$

anonymous · Answer

you're explaining it so well I just do not understand :((((

anonymous · Answer

But that is the correct answer so thank you haha

anonymous · Answer

the picture tells it all

anonymous · Answer

in any case the domain of the log is always positive numbers and the range is always all numbers

anonymous · Answer

and your welcome
now it is my bed time 
good luck with the rest

anonymous · Answer

okay thank you so much again for all of youre help tonight I seriously appreciate it so much!!!!! Sleep tight