SV#2: Unit G Concepts 1-7 - Finding all parts and graphing a rational function

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  Sv #2: Unit G Concepts 1-7 : Finding all parts and graphing a rational function.
1) In this problem we must find all parts and graph a rational function. A rational function has numbers other than zero. With this problem we are given slant asymptotes to find. We can see that there is one because the degree of the first number is ONE bigger on top then the bottom degree. To find it we must use long division. Next we then find the vertical asymptotes by factoring and IF  something cancels it s our hole, the par of the graph that isn't able to be gone through, hence the name the hole. Then we have to find the x and y intercepts as well the the domain of the function which is D.I.V.A.H. we then find other point by hitting trace on our graphing calculators.
2) One thing to remember is when conducting long division we don't use the remainder as part of our answer.Also when finding the x intercepts we set the numerator to because Y=0, but be careful that whatever had been canceled you don't include. When finding the y-intercept, X=0.When finding the limit notation you plug the equation into the calculator and don't forget the parenthesis and then you see whats occurring as you approach that number from the right and left.