Let f (x) be a function defined on R, if f (0) = 2010, and for any x ∈ R, f (x + 2) - f (x) ≤ 3.2X, f (x + 6) - f (x) ≥ 63.2x, then f (2010)=______ .

Let f (x) be a function defined on R, if f (0) = 2010, and for any x ∈ R, f (x + 2) - f (x) ≤ 3.2X, f (x + 6) - f (x) ≥ 63.2x, then f (2010)=______ .

∵ f (x + 2) - f (x) ≤ 3.2X ∵ f (x + 4) - f (x + 2) ≤ 3.2X + 2 = 12.2xf (x + 6) - f (x + 4) ≤ 3.2X + 4 = 48.2x ∵ add the above three formulas: F (x + 6) - f (x) ≤ 63.2x ∵ f (x + 6) - f (x) ≥ 63.2x ∵ f (x + 6) - f (x) = 63.2x ∵ f (6) - f (0) = 63