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Math Help - Rational Functions

  1. #1
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    Last edited by KingV15; November 19th 2009 at 08:28 PM.
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  2. #2
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    Y-intercepts are found by setting the numerator equal to zero (since the fraction is equal to zero when the numerator is equal to zero) and solving.

    Vertical asymptotes are found by setting the denominator equal to zero and solving.

    The only way the lx\, -\, 1 and the x\, -\, 1 would not cancel is if l\, \neq\, 1.

    See where these hints lead you....
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  3. #3
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    hi
    The only way f could have vertical asymptotes is when it's undefined.
    f is undefined when (kx-1)(lx+2)=0.
    the y-intercepts are the roots of your function,and f will equal zero ONLY when 4b(x-1)^2 is equal to zero.
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  4. #4
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    Quote Originally Posted by Raoh View Post
    the y-intercepts are the roots of your function,and f will equal zero ONLY when 4b(x-1)^2 is equal to zero.
    the y intercepts are when x = 0
    the x intercepts are the roots of the function

    as x goes to (-)infinity the function tends to a certain limit(s), this limit is the/an asymptote

    Edit: horizontal asymptotes
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