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Math Help - Rational functions

  1. #1
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    Rational functions

    I need help with some of my problems.

    5. y = 3x-2/(x+6)(x-2)

    6. y = (x-1)^2/x+2

    7. y = (x+3)(x+2)/(x-1)

    9. y = (x+5)(x-4)(x+2)/(x+1)(x-2)(x+1)

    12. y = 3x^2/(x-5)(x+2)
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by asimon2008 View Post
    I need help with some of my problems.

    5. y = 3x-2/(x+6)(x-2)

    6. y = (x-1)^2/x+2

    7. y = (x+3)(x+2)/(x-1)

    9. y = (x+5)(x-4)(x+2)/(x+1)(x-2)(x+1)

    12. y = 3x^2/(x-5)(x+2)
    and what exactly are you supposed to do with these??
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  3. #3
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    I am suppose to graph these. I have to find the EbA.

    My teacher says for the EBA:

    Case 1: If numerator< denominator, the x-axis y=0 is the horizontal asymptote.

    Case 2: If n=m, then y=an/bm is the horizontal asymptote. that is the ratio of leading ocefficients.

    Case 3: If n>m, there is no horizontal asymptote, If n=m+1 there is an oblique asymptote.
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  4. #4
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    Talking

    Quote Originally Posted by asimon2008 View Post
    I am suppose to graph these. I have to find the EbA.
    I've never heard of an "EbA". For a complete explanation of what you're instructor appears to be referring to, try this lesson on asymptotes. It illustrates how to find vertical, horizontal, and slant ("oblique") asymptotes.

    To put it all together for the graph (intercepts, asymptotes, etc), try here.
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