Sketch the Graph and Show All Local Extrema and Inflection $( 0,0 ) , ( 2,0 )$

Multiple Choice

Sketch the graph and show all local extrema and inflection points.
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A) Local minima: $( 0,0 ) , ( 2,0 )$
Local maximum: $( 1,1 )$
Inflection points: $( 0,0 ) , ( 2,0 )$


B) Local minimum: $( 1,1 )$
No inflection points


C) Local maximum: $( 1,1 )$
Inflection points: $( 0,0 ) , ( 2,0 )$


D) Local minima: $( 0,0 ) , ( 2,0 )$
Local maximum: $( 1,1 )$
No inflection points