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) $( - 2,80 ) , ( 2 , - 80 )$

Question

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) $( - 2,80 ) , ( 2 , - 80 )$

Quizplus · Accepted Answer

The Answer of 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) $( - 2,80 ) , ( 2 , - 80 )$

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

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