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Sketch the graph that possesses the characteristics ( − 3) = 0, f''( − 3) < 0, f( − 3) = − 1; f'( - 7) = 0, f''( − 7) > 0, f( − 7) = − 7; f''( – 5) = 0, f(-5) = − 4 Choose the correct graph below. HE OP.

Sketch the graph that possesses the characteristics ( − 3) = 0, f''( − 3) < 0, f( − 3) = − 1; f'( - 7) = 0, f''( − 7) > 0, f( − 7) = − 7; f''( – 5) = 0, f(-5) = − 4 Choose the correct graph below. HE OP.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:** Sketch the graph that possesses the characteristics listed below: - \( f'(-3) = 0, f''(-3) < 0, f(-3) = -1 \) - \( f'(-7) = 0, f''(-7) > 0, f(-7) = -7 \) - \( f'(-5) = 0, f(-5) = -4 \) **Choose the correct graph below:** - **Option A:** - A blue curve intersects the grid, possibly indicating specific points. - Has a local extremum around the points mentioned. Specific behavior at points needs analysis. - **Option B:** - Features a blue curve that also navigates the grid similarly. - Points of extremum and concavity might match described characteristics. - **Option C:** - The blue curve traverses the graph indicating specific behaviors at marked points. - Requires examination to ensure derivatives and values align. - **Option D:** - Displays a blue curve potentially satisfying given attributes. - Observations needed for accurate concavity and derivative checks. Each graph needs careful analysis to ensure it meets the derivative and concave characteristics listed.
Transcribed Image Text:**Problem Statement:** Sketch the graph that possesses the characteristics listed below: - \( f'(-3) = 0, f''(-3) < 0, f(-3) = -1 \) - \( f'(-7) = 0, f''(-7) > 0, f(-7) = -7 \) - \( f'(-5) = 0, f(-5) = -4 \) **Choose the correct graph below:** - **Option A:** - A blue curve intersects the grid, possibly indicating specific points. - Has a local extremum around the points mentioned. Specific behavior at points needs analysis. - **Option B:** - Features a blue curve that also navigates the grid similarly. - Points of extremum and concavity might match described characteristics. - **Option C:** - The blue curve traverses the graph indicating specific behaviors at marked points. - Requires examination to ensure derivatives and values align. - **Option D:** - Displays a blue curve potentially satisfying given attributes. - Observations needed for accurate concavity and derivative checks. Each graph needs careful analysis to ensure it meets the derivative and concave characteristics listed.
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