Hello my name is Ivan and this video will demonstrate how to graph a rational function. To graph this function, we will need to find it's assymptotes and some of the points that lie in its path, some of which are the y-intercepts and x-intercepts. We will also be using our graphing calculator to list some limit notation and figure out which general path our curves will follow. Make sure to find all you can first before graphing.
The viewer must pay special attention to the factorization of the bottom and top. The top will require some Unit F skills and if you go wrong, your graph may not end up looking correct. When finding vertical assymptotes, if something cancels out, do not forget to take it out from the simplified equation and find it's y-value by plugging it's x-value to the simplified equation. Make sure you cancel out the denominator when finding x-intercepts. Also, use the simplified equation when finding the y-intercepts. We must do this because we have a hole, and plugging x as 0 into the original equation could yield an incorrect value for the y-intercept. Make sure you use your trace function with the calculator so you obtain correct points. Remember, the graph has to hug the assymptotes and it cannot go through the hole we found.
Thank You
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