$($a$)$ Determine if the following can be calculated with a function.

$($b$)$ Explain your answer.

Input $x$ is a score on a cricket game; output is the names for all players having score $x.$

$($a$)$ Is it possible to find a function whose input is $x,$ score on a cricket game, and output is $y,$ the names for all players having score $x.$

A$.$ Yes, and the function is $f(x)=$

B$.$ No