SOLUTION: Sketch the asymptotes and graph the function. Identify the domain and range. {{{y=1/x -3}}} I got H.A.= y=-3 and V.A.=X=0 I got the domain:(-infinity,0)U(0,infinity) Range: (-in

Algebra ->  Rational-functions -> SOLUTION: Sketch the asymptotes and graph the function. Identify the domain and range. {{{y=1/x -3}}} I got H.A.= y=-3 and V.A.=X=0 I got the domain:(-infinity,0)U(0,infinity) Range: (-in      Log On


   

Question 960959: Sketch the asymptotes and graph the function. Identify the domain and range.
y=1%2Fx+-3
I got H.A.= y=-3 and V.A.=X=0 I got the domain:(-infinity,0)U(0,infinity) Range: (-infinity, -3)U(-3,infinity)
Am I right? If not can you show me the steps to finding the asymptotes and domain and range and how to graph it?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
First thought is you are correct.... Look at the graph:

graph%28300%2C300%2C-8%2C4%2C-8%2C4%2C1%2Fx-3%29

Critical x values are 1/3 and 0. Sign changes at x=1/3.

Before graphing, sometimes this helps:

1%2Fx-3x%2Fx

%281-3x%29%2Fx

Root when 1-3x=0, and function undefined having vertical asymptote for x=0.