The problem is a polynomial in standard form. With the polynomial you can find it's end behavior, x-intercepts, multiplicities, and y-intercept. You can determine the shape of the graph after finding these and their zeroes.
The viewer must know how to factor the polynomial or their zeroes will not be correct. Also, know which way the arrows go when they approach positive and negative infinity. Make sure to approach each point correctly based off of its multiplicity (1M= through, 2M=bounce, 3M=curve).
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