What type of function is
f(x) = -(x+1)(x-2)^2

Cubic function

Step-by-step explanation:

Expand the brackets:

Therefore this is a cubic function as it is a polynomial function of degree three.

This is also a many-to-one function such that more than one element of the domain are connected to the same element in the range.  For example,

f(0) = -4 and f(3) = -4.  So when x is 0 and 3, y = -4.  Hence, many-to-one.

c. (3,2,6) is the answer.

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