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***** I ACCIDENTALLY WROTE THE WRONG SIGN ON THE NUMERATOR FOR MY RATIONAL FUNCTION, IT SHOULD BE X^3+ 4X^2 AND NOT -4X^2 IN ORDER TO GET THE SAME ANSWERS AS I DID, PLEASE MAKE SURE TO FIX THAT BEFORE CONTINUING THE VIDEO OR YOU WILL GET DIFFERENT ANSWERS******
In my SV2, the problem consists of determining what kind of Asymptote the rational function has and it's equation, how to find the holes (if any), x intercepts, y intercepts, and draw the corresponding graph. You must have a calculator in order to be able to find the limit notation of the Asymptote and all your key points. Having a visual of how the graph looks on the calculator is very helpful while doing certain steps of the problem.
It is important to pay special attention to the the degrees of the first coefficients from the denominator and the numerator in order to know what kind of Asymptote your graph will have. Another important thing is to make sure your limit notation is correct according to the graph because knowing whether the graph goes up or down can assure you if you have the correct graphs according to your holes and x and y intercepts. After understanding every step, the process of graphing rational functions will be as easy as 1,2,3:)