$2\mathrm{.}3$: Birthdays

Rule $B$ takes a person's name as its input, and gives their birthday as the output.

$\backslash$table$[[$input$,$output$]]$

Abraham Lincoln February $12$

Rule $P$ takes a date as its input and gives a person with that birthday as the output.

$\backslash$table$[[$input output$]]$

August $26$ Katherine Johnson

Complete each table with three more examples of input$-$output pairs.

If you use your name as the input to $B,$ how many outputs are possible? Explain how you know.

If you u ise your birthday as the input to $P,$ how many outputs are possible? Explain how you know.

Only one of the two relationships is a function. The other is not a function. Which one is which? Explain how you know.

For the relationship that is a function, write two input$-$output pairs from the table using function notation.