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| Question 1051367:  Find the oblique asymtote,and sketch the graph of f.
 f(x)=2x^2-x-3/
 x-2
 Answer by josgarithmetic(39630)
      (Show Source): 
You can put this solution on YOUR website! What to do: 
 Perform the division, either polynomial division or synthetic division.  What happens to the remainder when x becomes either increasingly great or lesser without bound?
 
 Notice your quotient, other than the remainder, will be a linear function.  That will be the slant (or oblique) asymptote.
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