It is known that f'(2) = 0 and that f"(2) > 0. Which of the following statements is true? O The maximum value of the function occurs at x = 2. O The function is decreasing at this point. O The point of inflection of the curve occurs at x = = 2. O The minimum value of the function occurs at x = 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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It is known that f'(2) = 0 and that f"(2) > 0. Which of the
following statements is true?
The maximum value of the function occurs at x = 2.
O The function is decreasing at this point.
The point of inflection of the curve occurs at x = 2.
O The minimum value of the function occurs at x =
- 2.
Transcribed Image Text:It is known that f'(2) = 0 and that f"(2) > 0. Which of the following statements is true? The maximum value of the function occurs at x = 2. O The function is decreasing at this point. The point of inflection of the curve occurs at x = 2. O The minimum value of the function occurs at x = - 2.
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