Thread: 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

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?)