Question 164998
Vertical asymptote at x = 3: y = x/(x-3)
Horizontal asymptote at y = 1:
{{{graph(400,300,-10,10,-10,10,x/(x-3))}}}
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Horizontal asymptote at y = 3: y= 3x/(x-2)
Vertical asymptote at x=2
{{{graph(400,300,-10,10,-10,10,3x/(x-2))}}}
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Oblique asymptote at y = x :y =  (x^2 +x +2)/(x)
{{{graph(400,300,-10,10,-10,10,(x^2+x+2)/x)}}}
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Pothole at x = 2:y = ((x-1)(x-2))/(x-2)
{{{graph(400,300,-10,10,-10,10,((x-1)(x-2))/(x-2))}}}
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Cheers,
Stan H.