Asked by Anonymous
                Create a (simplified) rational function that has the following asymptotes.(show work) y=0, x=-3, x=0, and x=2
            
            
        Answers
                    Answered by
            bobpursley
            
    Hmmmm.  f(x)= e^-x * 1/[(x+3)(x)(x-2)]
    
                    Answered by
            Steve
            
    I think rational functions are ratios of polynomials, so  forget the e^-x and just use
1/[(x+3)(x)(x-2)]
or, the numerator could be any polynomial of degree less than 3. It will still approach y=0 as x gets large.
    
1/[(x+3)(x)(x-2)]
or, the numerator could be any polynomial of degree less than 3. It will still approach y=0 as x gets large.
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