SV #2: Unit G Concept: 1-7 Rational Functions
Click HERE to watch :)
This video goes over rational functions and as well includes the slant asymptote, vertical asymptote, holes, domain, intervals, and explains how to graph it. This functions does not include a horizontal asymptote because its leading degree on the numerator is bigger than the leading degree on the denominator. Therefore, this graph has a slant asymptote with one hole and two x-intercepts. Along with that, this video goes over notations, equations, and ordered pairs.
In order to understand this problem better, you must note that the slant asymptote does not require you to continue solving past the needed y=mx+b equation. Along with that, because you have the same factors on the numerator as well as the denominator, the graph is going to have a hole. The graph will then skip the ordered pair as it is a hole. Lastly, it is very important to remember that the graph does not touch the asymptote even though is might seem as it does.
****Correction:
I'm sorry for the mistakes, but here is a correct version of the graph. For the holes, the canceled factor, which leads to the equation x=-3, is the x-intercept for the ordered pair. You just have to plug in the x-value in the equation as shown in order to get the y-value of -3/4. This means that the hole on the graph changes, but you still have to skip it as it does not exist on the graph when you trace it (please see the graph from the picture). As for the y-intercept, you have simply plug in 0 for the x-values in order to find the ordered pair of (0,0). Other than that, the rest is correct.
No comments:
Post a Comment