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Math Help - Limit puzzle

  1. #1
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    Limit puzzle

    Let f be the function that is given by f(x)=(ax+9)/(x^2-c) and that has the following properties.

    a) the graph of f is symmetric with respect to the y-axis
    b) lim x->2 from the right is equal to positive infinity

    1) determine the values of a and c
    2) write an equation for each vertical and each horizontal asymptote
    3) sketch the graph
    4) find the inverse


    so when I started this I got the horizontal asymptote to be y=0 and the two vertical asymototes to be x=+-2 also I got the graph to be a positive hyperbola in quad 1 and the reverse of the at in quad 2 and then in between them a downwards parabola...I also think that a might be 0 but I'm not sure...any help would be great!!! Thanks
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  2. #2
    Super Member
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    Re: Limit puzzle

    When you said hyperbola and parabola, that is what those parts of the graph look like. But technically, those peices aren't hyperbolas or a parabola. It sounds like you've graphed it correctly.
    Re: "I also think that a might be 0 but I'm not sure". f is never 0. (What happens when you try to solve f(x) = 0?)
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