It is known that f(x) is a function whose domain is [- 1, 1], f(x)=-f(-x), f( 1)= 1. If a and b belong to [- 1, 0.

(1) judge whether the function f(x) is a increasing function or a decreasing function on [- 1, 1];

(2) Solve the inequality f (x+ 1/2)

(3) If f(x)≤m? -2am+ 1 is always true for all x's [- 1, 1] and a's [- 1, 1], which is realistic for the value range of m. ..