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in this video were going to talk about how to graph polynomial functions using things such as end behavior multiplicity and even finding the zeros so lets begin by taking down some notes first lets begin our discussion with the graph of y equals positive x squared so this is an even function with a degree of two even functions are symmetrical about the y axis and so this is the shape of the y equals x squared graph the end behavior towards the left is up and the end behavior towards the right is up now theres other ways in which you can describe the end behavior of this graph on the right side as x approaches positive infinity y approaches positive infinity so heres how you can visualize it as you move towards the right along the x-axis as you go towards positive infinity the values along the y-axis are increasing youre going up towards positive infinity on the y-axis now the end behavior for this graph on the left as x approaches negative infinity y approaches positive infinity