Answer
The provided relation $\left[ \left( 1,\ 10 \right),\ \left( 2,\ 500 \right),\ \left( 13,\ \pi \right) \right]$ is a function. The domain of the function is $\left\{ 1,\ 2,\ 13 \right\}$. The range of the function is $\left\{ 10,\ 500,\ \pi \right\}$.
Work Step by Step
Let us the consider the following relation:
$\left[ \left( 1,\ 10 \right),\ \left( 2,\ 500 \right),\ \left( 13,\ \pi \right) \right]$
For a relation to be function each input must be related to exactly one output.
So, the provided relation represents a function as each input is related to exactly one output.
The domain of a function is a set of x values. So, the domain of the function will be $\left\{ 1,\ 2,\ 13 \right\}$.
The range of a function is a set of y values. Therefore, the range of the function will be $\left\{ 10,\ 500,\ \pi \right\}$.
Hence, the relation is a function if each input is related to exactly one output.
