F(x)=-x^5+4x^3-x+1 # of turns # of solutions and is the right side going up or down?

Hello from MrBillDoesMath!

See Discussion below.

Discussion:

From the attachment, f(x) has three real roots (and 2 complex roots).

As x increases, the polynomial approaches negative infinity and as x deceases it approaches positive infinity.

The attachment shows there are 3 "turning" or inflection points of f(x).

Thank you,

MrB

the answer is simply just 6n add the two together as they have an n