The diagram at the left represents a collection of level sets for a certain func

Question

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    Point E is   ?    a relative maximum    a relative minimum    a saddle point    not a critical point   

Explanation / Answer

Point A is       a relative maximum     Point B is       not a critical point    Point C is       a relative minimum     Point D is       a relative maximum       Point E is       a saddle point

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