Question

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

Answer 1

Cubic function

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.