Posted by **Hyde** on Monday, March 31, 2014 at 7:57pm.

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

X intercept= -b/a

Y intercept= b/d

Vertical asymptote: x=-d/c

Horozontal asymptote: a/c

- Math -
**Reiny**, Monday, March 31, 2014 at 8:08pm
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

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