Answer
The relation $\left[ \left( 2,7 \right),\ \left( 3,7 \right),\ \left( 5,7 \right) \right]$ is a function. The domain of the function is $\left\{ 2,\ 3,\ 5 \right\}$ and the range of the provided function is $\left\{ 7 \right\}$.
Work Step by Step
Let us the consider the given relation:
$\left[ \left( 2,\ 7 \right),\ \left( 3,\ 7 \right),\ \left( 5,\ 7 \right) \right]$
For a relation to be a function, each input must be related to exactly one output.
So, the relation represents a function as each input is related to exactly one output.
The domain of a function is a set of x values. Thus, the domain of the function will be $\left\{ 2,\ 3,\ 5 \right\}$.
The range of a function is a set of y values. Therefore, the range of the function will be $\left\{ 7 \right\}$.
Hence, the relation is a function if each input is related to exactly one output.
