Which of the following relations are functions? Give reasons. If it is a function,determine its domain and range.
$\{(1,3), (1,5), (2,5)\}$
$\{(1,3), (1,5), (2,5)\}$
(N/A) The given relation is $R = \{(1,3), (1,5), (2,5)\}$.
In a relation,for it to be a function,every element of the domain must have a unique image in the codomain.
Here,the element $1$ in the domain is associated with two different images,$3$ and $5$.
Since the same first element $1$ corresponds to two different images,this relation is not a function.
In a relation,for it to be a function,every element of the domain must have a unique image in the codomain.
Here,the element $1$ in the domain is associated with two different images,$3$ and $5$.
Since the same first element $1$ corresponds to two different images,this relation is not a function.
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