Let $A=\{1,2,3,4,5,6\} .$ Define a relation $R$ from $A$ to $A$ by $R=\{(x, y): y=x+1\}$

Depict this relation using an arrow diagram.

Determine the domain and range of the relation $R$ defined by $R =\{(x, x+5): x \in\{0,1,2,3,4,5\}\}$

Let $A = \{1, 2, 3\}$. The total number of distinct relations that can be defined over $A$ is

$A=\{1,2,3,5\}$ and $B=\{4,6,9\} .$ Define a relation $R$ from $A$ to $B$ by $R = \{ (x,y):$ the difference between $ x $ and $ y $ is odd; ${\rm{; }}x \in A,y \in B\} $ Write $R$ in roster form.

Let $A=\{x, y, z\}$ and $B=\{1,2\} .$ Find the number of relations from $A$ to $B$.