If we define the set: Tudors$\{$Henry VII, Henry VIII,

Edward VI$,$ Mary I, Elizabeth I$\}$

Which of the following relations are functions and

which are not? Justify your answer.

is$-$a$-$parent$-$of $$

$\{($Henry VII,Henry VIII$),($Henry VIII, Edward VI$),($Henry

VIII, Mary I$),($Henry VIII,Elizabeth I$)\}$

$($b$)$

$($c$)$

is$-$a$-$child$-$of $$

$\{($Henry VIII,Henry VII$),($Edward VI$,$ Henry VIII$),($Mary

I,Henry VIII$),($Elizabeth I, Henry VIII$)\}$

was$-$succeeded$-$by $$

$\{($Henry VII,Henry VIII$),($Henry VIII, Edward

VI$),($Edward VI$,$ Mary I$),($Mary I,Elizabeth I$)\}$