We have the sets $A$ (set of natural number from $1$ to $4$), $B$ (set of integers from $-4$ to $0$) and $C$ (set of rational numbers between $5$ and $6$ included $5$ and $6$).
I want to choose a set $D$ and a relation for the following:
f is a surjective map from B to A
g is an injective map from A to C
h is a bijective map from D to B
k is a relation but not a map from C to B
Could you give me a hint how we could find such relations/maps?
Let's consider the first one. Do we have to consider a function that shifts the interval from $1$ to $4$ into the interval from $-4$ to $0$?