SOLUTION: 8. 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 +7

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 8. 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 +7       Log On


   



Question 466661: 8. 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
+7


I appreciate any help!Thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C300%2C-10%2C10%2C-10%2C10%2C16x%5E2%2F%283x%5E2-17x%2B10%29%29
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Cheers,
Stan H.