Question 466661
For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. 
f(x)=16x²/3x²-17x+10 
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Horizontal asymptote: y = 16/3 = 5 1/3
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To get the vertical asymptotes, factor the denominator:
3x62-17x+10 = (3x-2)(x-5)
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Vertical asymptotes at x = 2/3 and x = 5
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Graph:
{{{graph(400,300,-10,10,-10,10,16x^2/(3x^2-17x+10))}}}
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Cheers,
Stan H.