Let  $R=\left\{\right(1,3),(4,2),(2,4),(2,3),(3,1\left)\right\}$ be a relation on the set $A=\{1,2,3,4\}$. Then the relation R is 

R is not a function since it contains $(2,4),(2,3).$
R is not reflexive, R does not contain$(1, 1)$. R is not symmetric since R contains $(2, 3)$ but not $(3, 2).$ R is not transitive since R contains $\left(1,3\right)$ and $\left(3,1\right)$ but not $\left(1,1\right)$