Question

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

Answer 1

Answer:

Cubic function

Step-by-step explanation:

Expand the brackets:

$f(x) = -(x+1)(x-2)^2=-x^3+3x^2-4$

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.