How do I solve for the a,b,c,d values of a rational function?

[serene socket]

i dont even know how to start! i know the vertical asymptote is 4 and the horizontal asymptote is -2 and that's about it. Would love to get some help on setting up the solution!

[fiery coyote]

Well, we know that R(1) = (a + b)/(c+d) - 1 = 0

And R(4) = infinity, so that means 4c + d = 0

And if the horiz asymptote is -2 then that means that a/c = -1

Do they give you the co-ords of the y-intercept? @serene socket

[serene socket]

nope :/

[fiery coyote]

Well, it looks like it's about -0.5

So I'm just gonna use that.

So that implies b/d = 0.5

So we just have to solve those equations.

okay, I did a bit of fiddling about and if I'm right about the -0.5 thing we get a = 1, b=2,c=-1, d=4

@serene socket

[serene socket]

thank you i will test that out!