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

$($b$)$ Explain your answer.

Input $x$ is a height of a student in a classroom; output is the names for all the students having height $x.$

$($a$)$ Is it possible to find a function whose input is $x,$ height of a student in a classroom, and output is $y,$ the names for all the students having height $x.$

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

B$.$ No