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Course: Differential Calculus (2017 edition) > Unit 10

Lesson 9: Review: Concavity & points of inflection

Concavity & inflection points challenge

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Concavity & inflection points challenge

Google Classroom

The function

f

(not shown) is continuous and differentiable for all real numbers. The graphs of

f^{'}

and

f^{''}

are shown.

Which of the following statements best describes what is happening on the graph of

f

at

x = - 2

?

(Choice A)
$f (- 2)$ ‍ is a relative minimum value of $f$ ‍.
(Choice B)
$f (- 2)$ ‍ is a relative maximum value of $f$ ‍.
(Choice C)
$f (- 2)$ ‍ is the absolute minimum value of $f$ ‍.
(Choice D)
$f (- 2)$ ‍ is the absolute maximum value of $f$ ‍.
(Choice E)
‍The point $(- 2, f (- 2))$ ‍ is a point of inflection of $f$ ‍.