Use complete sentences to analyze the graph of the function f(x) = log 1/5 x.

Part 1: Describe the domain, range, and general shape of this graph.

Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.

Question

Use complete sentences to analyze the graph of the function f(x) = log 1/5 x.

Part 1: Describe the domain, range, and general shape of this graph. 

Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.

anonymous · Answer

pick points that are easy to plot

anonymous · Answer

for example if $x=1$ then $\log_{1/5}(1)=0$

anonymous · Answer

then try powers of 5, like for example 
$$\log_{1/5}(5)=-1$$ since $(\frac{1}{5})^{-1}=5$

ilovebmth1234 · Answer

The log function has vertical asymptote at x=0
x-intercept at x=1
Because its base 1/5, when x =1/5, y = 1
that should give the general shape of the graph

anonymous · Answer

if you want a general picture, click here http://www.wolframalpha.com/input/?i=log_ {1%2F5}%28x%29 make sure to choose "real valued plot" so you don't get messed up with complex numbers the domain of any log function is $x>0$ and the range is $(-\infty, \infty)$

mathmale · Answer

It's late in the game to be pointing this out, but your f(x) = log 1/5 x. is subject to varying interpretations.  Do you mean $$\log_{1/5}x~or~\log \frac{ 1 }{ 5 }x ~or~what? $$