F(y- 1.5)=-f(y) is brought into the original formula.

Get f(x- 1.5)=-f(x).

f(x- 1.5)=-f(x)=-[-f(x+ 1.5)]= f(x+ 1.5)。

Let x- 1.5=y, then x=y+ 1.5.

Substitute the above formula to get f(y)=f(y+3).

That is, f(x)=f(x+3)

That is, f(x) is a function with a period of 3.

So f (2016) = f (3 * 671+3) = f (3) = 3.