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anonymous

  • 5 years ago

What are the vertical asymptotes, horizontal asymptotes, slant asymptotes, and the holes of this equation: (x^2-9x+20)/(2x^2-8x)

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  1. amistre64
    • 5 years ago
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    since the bottom and top degrees are the same; the HA is the qoutient of the top leading coefficient and the bottom leading coefficint HA = 1/2 Vas are where your bottom goes to zero; so factor it out and check for roots

  2. amistre64
    • 5 years ago
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    a hole is where the bottom gets canceled out by a like facotr on the top, so factor your top as well

  3. amistre64
    • 5 years ago
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    (x-5)(x-4) --------- 2x(x-4)

  4. myininaya
    • 5 years ago
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    horizontal asymp are the most fun

  5. amistre64
    • 5 years ago
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    there is a hole at x=4; and a VA at x = 0

  6. anonymous
    • 5 years ago
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    are you sure that the horizontal asymptote is 1/2 because i thought it was 2

  7. myininaya
    • 5 years ago
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    its 1/2

  8. amistre64
    • 5 years ago
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    im sure; if its what you wrote up top then: x^2-9x+20 1+..... ----------- = -------- = 1/2 2x^2-8x 2+.....

  9. anonymous
    • 5 years ago
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    you take the limit as x goes to infinity

  10. anonymous
    • 5 years ago
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    divide top and bottom by x^2 to clear things up and yeah, you end up with 1/2

  11. myininaya
    • 5 years ago
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    since the degrees are the same you just take the coeiffient of the leading exponent term in the numerator over the coefficent of the leading exponent term in the denominator

  12. amistre64
    • 5 years ago
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    divide everything by the highest degree variable in the bottom.... anything left stuck with an x in its bottom gets thrown in the trash

  13. anonymous
    • 5 years ago
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    ok and what is the slant?

  14. amistre64
    • 5 years ago
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    there is no slantl the slant is what happens the degree of the top is heavier than the degree of the bottom

  15. myininaya
    • 5 years ago
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    (x^3+1)/(x^2+1) would have a slant since the degree of the top is one more than the degree of the bottm

  16. anonymous
    • 5 years ago
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    the slant is when you do long division. so what is the slant?

  17. myininaya
    • 5 years ago
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    its a line as that the curve gets closer to as x gets closer to infinity

  18. amistre64
    • 5 years ago
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    there.....is.....NO .....slant.......to .....your.....problem.....

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