The objective of this project is to analyze a polynomial of degree four via various attributes using Microsoft Excel, you tube, prior knowledge and Microsoft Word. This project is to test how well you can contribute what you’ve learned in class and what you are able to teach yourself. Math isn’t just what you learn in class, but also what you can teach yourself. The skills used to put this project together will show just how well you combine the two and how much you try to comprehend certain things; if your able to regurgitate them to some one else. The definition of end behavior is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. So in order for you to determine the end behavior you put your function in the calculator, graph it, and the two ending points of the graph are your end points. Now you just have to determine their behavior, which is easy, you decide whether the independent and depend variables are approaching -∞ (decreasing) or +∞ (increasing). With a table and not a graph seems harder but is also quite simple. When looking at a table for end behavior it is easier because most of the time the x and f(x) is already labeled, so all you have to do is determine if their heading towards – or + ∞. Then boom you have …show more content…
This is when there is a slight or even noticeable bends in the graph. This will determine the amount of local extremas that you have. For instance my polynomial f(x)=3x⁴=8x³=6x²=3x-2 had at most 2 local extremas, because I only saw one slight bend in the second quartile of the graph and then another in the first quartile, this one being more noticeable. Another route to take in order to find the local extrema for a more accurate answer is to use the calculator. The way to do this is put your polynomial in y=, double check to make sure it is correct. After doubling checking press zoom and press fit to see the graph in order to identify the local