Graph the function.
f (x)=-3x3 - 6x2 +3x + 6
Show all of the following steps using methods we learned about in unit 1 to find a hand-drawn (not Desmos derived sketch):
1) Use Descartes Rule to find the potential number of positive roots and negative roots
2) Use Rational Root Theorem to find the potential roots,
3) Find the x-intercepts by factoring using synthetic division aided by upper and lower bounds
4) Discover the graph’s end behavior using the coeffiecient and exponent of the first term.
5) Find the y-intercept and supply a hand drawn (not Desmos derived) sketch based on the above information