Define by for every integer

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Define

g: \mathbb Z \to \mathbb Z

g(n)=\lfloor n/2 \rfloor

for every integer

n

. Which statement about

g

is correct? (a)

g

is injective but not surjective (b)

g

is bijective (c)

g

is surjective but not injective (d)

g

is neither injective nor surjective