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

The student video is about finding asymptotes (slant, horizontal, vertical) and holes when given a ration function. After finding this information, you should be able to graph the function. Using basic knowledge from previous concepts like long division, interval notation, setting denominators equal to zero, and factoring, you will be able to graph the function. You should take note that, because there is a hole in this function, we will be plugging in many values into our SIMPLIFIED EQUATION, meaning the equation you are left with after crossing out common factors found both in the numerator and denominator. When finding the y-value of your hole, you plug your x-value into your simplified equation. This is the same when we plug in numbers when finding x-intercepts and y-intercepts. Another thing you should pay close attention to is that when you write the notation for your vertical asymptotes, this will help you get an idea how your graph will look, thus making it easier for you to draw it when the time comes.