For the function y= (ax+b)/(cx+d) write the intervals where the function is increasing and intervals where it is decreasing.

Question

X intercept= -b/a
Y intercept= b/d
Vertical asymptote: x=-d/c
Horozontal asymptote: a/c

Answer 1

your answeres are correct so far.

for the increasing/decreasing part,

find dy/dx
I got (-c((ax+b) + a(cx+d))/(cx+d)^2

= (ad - bc)/(cx + d)^2

since the denominator is always ≥ 0
we only have to look at the top

for the function to increase , dy/dx > 0
ad - bc > 0

for the function to decrease,
ad - bc < 0