In this problem, and its graph are given. Use the graph of to determine where has a point of inflection.
E) no point of inflection

Question

In this problem,  and its graph are given. Use the graph of  to determine where  has a point of inflection. ​   ​
E) no point of inflection

Quizplus · Accepted Answer

A point of inflection occurs where the concavity of the graph changes. Looking at the graph of 11ea984b_b22a_cd5e_9029_910ed45a8704_TB4005_11, we can see that the concavity changes from upward to downward at the point where x is approximately equal to 0.5. This corresponds to the point with x-coordinate approximately equal to 2 on the graph of 11ea984b_b22a_f470_9029_bf8d0e45d0d8_TB4005_11, which is the graph of its second derivative. Therefore, the point of inflection occurs at x = 2, which corresponds to choice C.

In This Problem, and Its Graph Are Given