Find the x-value at which the given function has a point of inflection.

A)
B)
C)
D)
E) no point of inflection

Question

​Find the x-value at which the given function has a point of inflection. ​
​  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​no point of inflection

Quizplus · Accepted Answer

A point of inflection occurs when the concavity of a function changes. We can find this by taking the second derivative of the given function, which is -12x+24. Set this equal to 0 and solve for x to get x=2. This means that the function changes concavity at x=2 and has a point of inflection there. Therefore, the answer is C.

​Find the X-Value at Which the Given Function Has a Point

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