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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 -

    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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