# 2 + (1+1+1) = 5 - 100 followers problem

**Algebra**Level 5

**Statement 1**

\(\left[ x+\frac { 1 }{ 2 } \right] \) is an *odd* function, while \(\cos { \pi x } \) is an *even* function.

**Statement 2**

\(\left[ x+\frac { 1 }{ 2 } \right] \cos { \pi x } \) is an *odd* function.

**Statement 3**

Product of an *odd* function and an *even* function is an *odd* function.

\([x ]\) is the greatest integer less than or equal to \(x\).