Let f : R → R be a differentiable function with the following properties. • f'(t) < 0 for t E (-1,0). • f'(s) > 0 for s E (0, 1). • f' (0) = 0 Which of the following statements is definitely true? Select one: O f has a stationary point of inflection at x = 0. O f has a y-intercept at (0, 0). O f has a local minimum at x = 0. O f has a local maximum at x = 0.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Let f : R → R be a differentiable function with the following properties.
•f'(t) < 0 for t E (-1,0).
• f'(s) > 0 for s E (0, 1).
• f'(0) = 0
Which of the following statements is definitely true?
Select one:
O f has a stationary point of inflection at x = 0.
O f has a y-intercept at (0, 0).
O f has a local minimum at x = 0.
O f has a local maximum at x = 0.
Transcribed Image Text:Let f : R → R be a differentiable function with the following properties. •f'(t) < 0 for t E (-1,0). • f'(s) > 0 for s E (0, 1). • f'(0) = 0 Which of the following statements is definitely true? Select one: O f has a stationary point of inflection at x = 0. O f has a y-intercept at (0, 0). O f has a local minimum at x = 0. O f has a local maximum at x = 0.
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