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2.) Decide whether the statement is either true or false: Circle T or F to indicate your answer. Assume that f is a function. No work needs to be shown. a.) T or F If f (x)>0 on the interval (-,3) and f'(x)<0 on the interval (3, ), then f must have a critical number at the x-value 3. b.) T or F If f is continuous on (-0,00) and f"(x)>0 on the intervals (-,3) and (3,0), then f must have a local minimum at the x-value 3. c.) T or F If f is continuous on (-0,0), and f"(x) >0 on the interval (-0,3) and f"(x)<0 on (3,0), then f must have an inflection point at the x-value 3. -is of indeterminate form. In(x) d.) T or F The limit lim x-7 -is of indeterminate form. e.) T or F The limit lim- x-al" x-1

2.) Decide whether the statement is either true or false: Circle T or F to indicate your answer. Assume that f is a function. No work needs to be shown. a.) T or F If f (x)>0 on the interval (-,3) and f'(x)<0 on the interval (3, ), then f must have a critical number at the x-value 3. b.) T or F If f is continuous on (-0,00) and f"(x)>0 on the intervals (-,3) and (3,0), then f must have a local minimum at the x-value 3. c.) T or F If f is continuous on (-0,0), and f"(x) >0 on the interval (-0,3) and f"(x)<0 on (3,0), then f must have an inflection point at the x-value 3. -is of indeterminate form. In(x) d.) T or F The limit lim x-7 -is of indeterminate form. e.) T or F The limit lim- x-al" x-1

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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2.) Decide whether the statement is either true or false: Circle T or F to indicate your answer. Assume that f is a function. No work needs to be shown. a.) T or F If f (x)>0 on the interval (-x,3) and f'(x)<0 on the interval (3, ), then f must have a critical number at the x-value 3. b.) T or F If f is continuous on (-0,00) and f"(x)>0 on the intervals (-,3) and (3,0), then f must have a local minimum at the x-value 3. c.) T or F If f is continuous on (-0,0), and f"(x) >0 on the interval (-0,3) and f"(x)<0 on (3,0), then f must have an inflection point at the x-value 3. d.) T or F The limit lim -is of indeterminate form. In(x) x-7 -is of indeterminate form. e.) T or F The limit lim- x-l" x-1
Transcribed Image Text:2.) Decide whether the statement is either true or false: Circle T or F to indicate your answer. Assume that f is a function. No work needs to be shown. a.) T or F If f (x)>0 on the interval (-x,3) and f'(x)<0 on the interval (3, ), then f must have a critical number at the x-value 3. b.) T or F If f is continuous on (-0,00) and f"(x)>0 on the intervals (-,3) and (3,0), then f must have a local minimum at the x-value 3. c.) T or F If f is continuous on (-0,0), and f"(x) >0 on the interval (-0,3) and f"(x)<0 on (3,0), then f must have an inflection point at the x-value 3. d.) T or F The limit lim -is of indeterminate form. In(x) x-7 -is of indeterminate form. e.) T or F The limit lim- x-l" x-1
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