This student problem I made my own example of a polynomail that I graphed.I included the x-int which were (-2,0), (5,0) and (-3,0). I also included the y-int which was (0,-60). The zeroes were -2M2 (bounce), 5M1(through), and -3M1(through). The steps I needed to do to complete my problem was first make up my own factored equation. After I did that, I was able to get the whole eqaution by factoring them together. Then I was able to find the end behavior, the x-int with multiplicities, the y-int, and was able to graph it. Even though it was a huge y-int i made the y-axis going by tens and the x-axis by ones.
The trickest part of this problem is making sure you only cross the x-axis at the gates. If you do not graph it correctly you do not get it right. You can only go through the x-axis at the gates and makes sure it is with the right multplicity (through, bounce, and curve). Other than the graphing part everything else is pretty easy.
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