Answer true or false. If f ''(-9) = -6 and f''(9) = 6, then there must be a point of inflection on (-9, 9).

Question

Quizplus · Accepted Answer

The fact that f(-9) = -6 and f(9) = 6 does not necessarily mean that there is a point of inflection at some point between -9 and 9. The function could have a different shape, such as a linear function or a function with a local maximum or minimum at some point. Additional information about the function or its derivatives is needed to determine if there is a point of inflection.

Answer True or False