#1**+2 **

f(x) = (x - 3)^3 - 4x^3 (x + 2)^3 + 3(x - 1)^6 expand this

f(x) = -x^6 - 42 x^5 - 3 x^4 - 91 x^3 + 36 x^2 + 9 x - 24

The end behavior will be determined by the first term...its end behavior "overpowers" the end behavior of the other terms

As x approaches negative and positive infinity, f(x) will approach negative infinity

So "A" is correct

Look at the graph here to get a feel for this :

https://www.desmos.com/calculator/anarhxyetv :

CPhill
Apr 24, 2018