f(x) = x+2
f(0) = 0+2 = 2
f(1) = 1+2 = 3
f(2) = 2+2 = 4
f(3) = 3+2 = 5
.....
f(1000) = 1000+2 = 1002
f(0)×f(1)×f(2)×f(3)×...×f(1000) = 2×3×4×5×...×1002 = (numarul din imagine)
Dar, daca ar fi fost f(x) = x-2, atunci am fi avut:
f(0) = -2
f(1) = -1
f(2) = 0
f(3) = 1
.....
f(1000) = 1000 - 2 =998
=> f(0)×f(1)×f(2)×f(3)×...×f(1000) = (-2)×(-1)×0×1×...×998 =
= [(-2)×(-1)×1×...×998]×0 = 0