$(A)$ The maximum
of $x$ and $y$
$max(x,y)=max(1,2)=2$
$max(x,y)=max(3,4)=4$
$max(x,y)=max(44,24)=44$
$max(x,y)=max(100,20)=100$
$(B)$ The minimum
of $x$ and $y$
$min(x,y)=min(1,2)=1$
$min(x,y)=min(100,200)=100$
$min(x,y)=min(10,2)=2$
$min(x,y)=min(101,102)=101$