Answer: Given the function f(x) = -3x^3 +3x^2+ 3x + 3, the following is true:
-It is not necessarily positive or negative as the value of f(x) depends on the value of x.
-It is a cubic function as it contains an x^3 term.
-The domain is all real numbers as there are no restrictions on the input x.
-It has at most 3 solutions as it is a cubic function and cubic functions can have at most 3 real roots.
-It is a polynomial function as it is a finite sum of terms involving non-negative integer powers of x.
Explanation: