1. What is the problem?
This problem presents us how to use extremas, intercepts, end behavior, mulitiplicities and factoring, all into one bunch. The extremas let us know when are the maximum and minimum points on the graph. The intercepts let us know where on the graph do we cross the x and y axis. End Behavior lets us know how the graph will look, the multiplicities will lets us know how the graph in between will look like.
2.What do you need to pay special attention to?
While figuring out the problem you must pay special attention to the factoring, if the equation is not factored correctly, things will get messy. second, pay attention to your end behavior and whether its right or not. Lastly, pay attention when drawing your graph whetger on a point does it bounce off, go through, or curve?
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