Chapter 1.3, Problem 8ES

Let $A=\left\{2,4\right\}$ and $B=\left\{1,\text{ 3,}\text{5}\right\}$ and define relations U, V, and W from A to B as follows:
For every $\left(x,y\right)\in A\times B$:
$\left(x,y\right)\in U$ means that $y-x>2$ .
$\left(x,y\right)\in V$ means that $y-1=\frac{x}{2}$ . $w=\left\{(2,5),\left(4,1\right),\left(2,3\right)\right\}$ .
a. Draw arrow diagrams for U, V, and W.
b. Indicate whether any of the relations U, V, and Ware functions.