SOLUTION: Write an equation of a rational function {{{f(x)= p(x)/q(x)}}} having the indicated properties in which the degrees of p(x) and q(x) are as small as possible. More than one correc

Question 466847: Write an equation of a rational function
having the indicated properties in which the degrees of p(x) and q(x) are as small as possible. More than one correct function may be possible.
The function has to have a vertical asymptote of x=3, a horizontal asymptote of y=0, a y-intercept at -1, and no x-intercept.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

There is vertical asymptote where x - 3 = 0, or x = 3.
When x--> , y = f(x) --> , so there is horizontal asymptote of y = 0.
When x = 0, f(0) = -1., and the graph doesn't intersect the x-axis, so there's no x-intercepts.

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