Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of æ in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None .) Answer: (B) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None .) Answer: (C) Find all values of æ in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None .) Local Minima: (D) Find all values of æ in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None .) Inflection Points:

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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Below is the graph of the derivative f'(x) of a function defined on the interval (0,8).
You can click on the graph to see a larger version in a separate window.
Refer to the graph to answer each of the following questions. For parts (A) and (B), use
interval notation to report your answer. (If needed, you use U for the union symbol.)
(A) For what values of æ in (0,8) is f(x) increasing? (If the function is not increasing
anywhere, enter None .)
Answer:
(B) For what values of x in (0,8) is f(x) concave down? (If the function is not concave
down anywhere, enter None .)
Answer:
(C) Find all values of x in (0,8) is where f(x) has a local minimum, and list them
(separated by commas) in the box below. (If there are no local minima, enter None .)
Local Minima:
(D) Find all values of x in (0,8) is where f(x) has an inflection point, and list them
(separated by commas) in the box below. (If there are no inflection points, enter None .)
Inflection Points:
Transcribed Image Text:Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can click on the graph to see a larger version in a separate window. Refer to the graph to answer each of the following questions. For parts (A) and (B), use interval notation to report your answer. (If needed, you use U for the union symbol.) (A) For what values of æ in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None .) Answer: (B) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None .) Answer: (C) Find all values of x in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None .) Local Minima: (D) Find all values of x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None .) Inflection Points:
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