This concept explains the end behavior, the multiplicities that derive from zeroes, y-intercept, and a graph to represent a factored polynomial. The multiplies and the zeroes help describe the shape of the graph and the end behavior describes the limit notation used to graph the polynomial. Meanwhile the y-intercept will simply be plotted on its corresponding ordered pair. This polynomial is a positive, fourth degree function, which means that there will be a total of 4 x-intercepts, or zeroes when the reader adds the multiplicities.
The reader needs to pay attention to the small details, such as the correct factorization since this eventually leads into our zeroes. In this case, an x^2 can be factored from the polynomial, so the reader must remember that this means that there will be two zeroes since there is a variable. Along with that, label the ordered pairs with T, B, or C because this will determine if the graph will go through, bounce, or curve; in this case, it goes through, bounces, and goes through again. Lastly, remember that the end behavior describes how the graph acts at the extreme, so make sure that the direction are correct.
This concept explains the end behavior, the multiplicities that derive from zeroes, y-intercept, and a graph to represent a factored polynomial. The multiplies and the zeroes help describe the shape of the graph and the end behavior describes the limit notation used to graph the polynomial. Meanwhile the y-intercept will simply be plotted on its corresponding ordered pair. This polynomial is a positive, fourth degree function, which means that there will be a total of 4 x-intercepts, or zeroes when the reader adds the multiplicities.
The reader needs to pay attention to the small details, such as the correct factorization since this eventually leads into our zeroes. In this case, an x^2 can be factored from the polynomial, so the reader must remember that this means that there will be two zeroes since there is a variable. Along with that, label the ordered pairs with T, B, or C because this will determine if the graph will go through, bounce, or curve; in this case, it goes through, bounces, and goes through again. Lastly, remember that the end behavior describes how the graph acts at the extreme, so make sure that the direction are correct.
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