Asked by Anonymous
what would the graph look like for the equation f(x)=ax+b/cx+d
when a>0, b<0, c>0, d<0?
when a>0, b<0, c>0, d<0?
Answers
Answered by
Reiny
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
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
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