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

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Question 960959: Sketch the asymptotes and graph the function. Identify the domain and range.

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)   (Show Source): You can put this solution on YOUR website!
First thought is you are correct.... Look at the graph:



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

Before graphing, sometimes this helps:





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

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