SP #2: Unit E Concept 7 - Graphing A Polynomial And Identifying All Key Parts

        The purpose of this problem is to derive a polynomial function from a designated number of zeros and a designated power and coefficient. With this in mind, we graph a fourth degree polynomial with an even coefficient for its highest x-power, all without of the complications that a graphing calculator obviously presents. This is done by first extracting the factors from the polynomial, or formulating them from the zeros that were given, and then deciding the orientation of the ends of the graph. That is all.
        Some important facts to factor in are to pay attention to the: orientation, through / bounce / curve x-intercepts, and whether or not it looks right. An important thing that must be done (that is excluded from this problem) in order to graph a more accurate graph, is to try and figure out the extrema of the graph. Don't forget to utilize that, and of course, the y-intercept in more accurately displaying your graph. An extra thing that could be done would be to check whether or not your graph is correct on a graphing calculator. Don't forget to input the correct things though, for your calculator is only as smart as you.