what would the graph look like for the equation f(x)=ax+b/cx+d

when a>0, b<0, c>0, d<0?

let's take an example and see what Wolfram says

f(x) = (2x - 5)/(3x - 8)

http://www.wolframalpha.com/input/?i=plot+y+%3D+%282x+-+5%29%2F%283x+-+8%29

Notice the vertical asymptote at x = 8/3
or x = d/c
the x=intercept of 5/2 or b/a
and the horizontal asymptote of y = 2/3 or y = a/c