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Math Help - Rational Function

  1. #1
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    Exclamation Rational Function

    vertical asymptote: x = 1
    horizontal asymptote: y = −2
    y-intercept: (0, −1)

    The question is to find a rational function that supports that information.
    the y-intercept is is just the coordinates.

    vertical asymptotes: x = −1 and x = 2
    horizontal asymptote: y = 3
    x-intercept: (3, 0)

    Same with this one. Rational function that supports that information.
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  2. #2
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    Quote Originally Posted by goliath View Post
    vertical asymptote: x = 1
    horizontal asymptote: y = −2
    y-intercept: (0, −1)

    The question is to find a rational function that supports that information.
    the y-intercept is is just the coordinates.

    vertical asymptotes: x = −1 and x = 2
    horizontal asymptote: y = 3
    x-intercept: (3, 0)

    Same with this one. Rational function that supports that information.
    1. y = \frac{A}{x - 1} - 2. Substitute (0, -1) to solve for A.

    2. y = \frac{A}{(x + 1)(x - 2)} + 3. Substitute (3, 0) to solve for A.

    Then express both over a common denominator.
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  3. #3
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    how do i solve for A
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  4. #4
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    Quote Originally Posted by goliath View Post
    how do i solve for A
    I have told you how in my first reply.
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  5. #5
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    I got the first one but I can't seem to the get the second one.

    I got [-12/(x+1)(x-2)] +3
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  6. #6
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    Quote Originally Posted by goliath View Post
    I got the first one but I can't seem to the get the second one.

    I got [-12/(x+1)(x-2)] +3
    Do you know how to substitute a given point into an equation?
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  7. #7
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    Well, I said I got the first one didn't I?
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  8. #8
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    Nevermind, I figured it out. A = -12

    so it's 3(x+4)(x-3)/((x+1)(x-2))
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