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The Graph of a Function f(x)=x2(x224)f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 24 \right)

question 74

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The graph of a function f(x) =x2(x224) f ( x ) = x ^ { 2 } \left( x ^ { 2 } - 24 \right) is given.
 The graph of a function  f ( x )  = x ^ { 2 } \left( x ^ { 2 } - 24 \right)   is given.         Find the coordinates of all points of inflection of this function (if any) .   A)   ( 0,0 )  , ( - \sqrt { 24 } , 0 )  , ( \sqrt { 24 } , 0 )   B)   ( 0,0 )   C)   ( - \sqrt { 12 } , - 144 )  , ( \sqrt { 12 } , - 144 )   D)   ( - 2 , - 80 )  , ( 2 , - 80 )   E)   ( - 2,80 )  , ( 2 , - 80 )
Find the coordinates of all points of inflection of this function (if any) .


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