hyperbola help

[Bend444]

hey i am doing my portfolio and i am using a hyperbolic function to model my data (ax+b/cx+d) and i was wondering how you can determine the vertical and horizontal asymptotes for a hyperbola. i am having trouble especially with the horizontal one

any help on this would be greatly appreciated

thanks

[Mahuta ♥]

Is this math HL or SL?

[moneyfaery]

Vertical asymptotes

v.a. when cx+d = 0 so when x = -d/c

Horizontal asymptotes

function in the form (ax+b)/(cx+d) is first degree both on the top and bottom

hence h.a. at y=a/c

Have you learned about limits? Horizontal asymptotes basically describe the behaviour of the graph when x approaches infinity.