Question 815453: graph (6x+1)/(5-3x) please !!
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Root when 6x+10=0, 3x+5=0, 3x=-5, x=-5/3.
Vertical asymptote when 5-3x=0, 3x=5, x=5/3.
As x becomes negative without bound, the graph approaches -6/3, or y=-2, but never completely reaches y=-2.
As x becomes increasingly positive without bound, the graph approaches y=-2, but never completely reaches y=-2.
You must obviously check the intervals for behavior in the region and near each critical point. These intervals are  ;  ;  .
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