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this video will cover the topic determining the end behavior and intercepts to graph a polynomial function in this topic we will learn how to graph a polynomial function such as X plus 2 squared times X minus 1 by determining the end behavior and the x and y-intercepts what does the end behavior of a function mean the end behavior of a function is the general appearance of the function when graphed this is determined by finding both the term of highest degree and its leading coefficient in the above example the degree of the polynomial can be computed by multiplying the highest degree term from each binomial X plus 2 squared can be written as X plus 2 times X plus 2 right thats right this allows us to multiply the term of highest degree from each binomial to find the leading term of the polynomial function X times X times x equals x to the third and since none of the terms of highest degree have coefficients higher or lower than 1 the leading coefficient must be 1 but how does this he