The given set is
[tex]\left\{ \left(2,2\right),(3,3),(4,4),(5,5),\left(5,6\right),(7,7)\right\} [/tex]This set represents a relation since is associating the elements of two sets.
On the other hand, this doesn't represent a function sin (5,5) and (5,6) violate the rule that defines a function, that is, an input element can't have two different outputs.