The diagram at the left represents a collection of level sets for a certain function, where the outer-most level is at the lowest height.
Point
A
is
?
a relative maximum
a relative minimum
a saddle point
not a critical point
Point
B
is
?
a relative maximum
a relative minimum
a saddle point
not a critical point
Point
C
is
?
a relative maximum
a relative minimum
a saddle point
not a critical point
Point
D
is
?
a relative maximum
a relative minimum
a saddle point
not a critical point
In order to get credit for this problem all answers must be correct.