# Thread: More fun with functions

1. ## More fun with functions

If you would like to still help I have some more that I am working on. Here are the stipulations.
the limit as x appraches negative infinity=-1
the limit as x approaches -2 from the negative= infinity
the limit as x approaches -2 from the positive= negative infinity
the limit as x approaches 2= infinity
the limit as x approaches infinity=-1
x intercepts only at x=4,0,-3
verticle asymptotes at x=-2,2

2. Originally Posted by mick1337
If you would like to still help I have some more that I am working on. Here are the stipulations.
the limit as x appraches negative infinity=-1
the limit as x approaches -2 from the negative= infinity
the limit as x approaches -2 from the positive= negative infinity
the limit as x approaches 2= infinity
the limit as x approaches infinity=-1
x intercepts only at x=4,0,-3
verticle asymptotes at x=-2,2
Construct this as a rational function. I would suggest:

$\displaystyle f(x)=-\ \frac{(x+3)x(x-4)}{(x-2)^2(x+2)}$

RonL