Examine the Function Given Below for Relative Extrema and Saddle $f ( x , y ) =$

Multiple Choice

Examine the function given below for relative extrema and saddle points. $f ( x , y ) =$ $\frac { x y } { 2 }$

A) The function has a saddle point at $( 0,0,0 )$ .
B) The function has a relative maximum at $( 0,0,0 )$ .
C) The function has a relative minimum at $( 0,0,0 )$ .
D) The function has a saddle point at $( 0,0,2 )$ .
E) The function has a relative maximum at $( 0,0,2 )$ .