SP # 2: Unit E Concept 7: Graphing polynomials, including x-intercept, y-intercept, zeroes, (with multiplicities), end behavior.

This problem is about graphing polynomials by defining how they behave at extremas, how they behave in the middle, where their highest and lowest points are, where their intercepts are, and defining their intervals. In addition, we are dealing with multiplicity of zeroes and how it defines our graph (remember 1 is through, 2 is bounce, 3 is curve?) We will be finding the x-intercept, y-intercept, determining the end behavior, finding extrema, and noting if the graph has intervals of increase or decrease with a set equation. To make a graph efficient, we must find all these aspects.

The viewer needs to pay special attention to the end behavior and how to find it. The degree and the coefficient determines the end behavior. There is even (degree) positive (coefficient), even positive, odd negative, odd positive. The viewer needs to know which direction the end behaviors go by this. Another thing that the view has to be careful on is when they factor the equation, because it is easy to make simple mistakes. Also, the viewer has to make sure they plot their graph right and where it goes through, bounce, or curve, and apply it to the graph.