Definition of a function :
\A function is a special type of relation in which each element of the domain is paired with exactly one element of the range.
\\
The relation in figure is not a function because each element in the domain does not corresponds to exactly one element in the range.
\The domain of the function is .
The range of the function is .
The element of the domain is paired with more than one element of the range, i.e,
and
.
Thus, the relation in figure is not a function.
\The relation in figure is not a function.