Sketch a graph of a continuous function f with the following properties: (i) f(x)=0 for x = 0 (ii) f'(x)=0 for x = (iii) f'(x) < 0 for x in (-∞0,0) (iv) f'(x) > 0 for x in (0,00) (v) f(x) < 0 for a in (-∞, -1) and (1,00) (vi) lim f(x) = 3, lim f(x) = 3 2118 Summarize the properties of the function below and provide a sketch of your graph after the test.
Sketch a graph of a continuous function f with the following properties: (i) f(x)=0 for x = 0 (ii) f'(x)=0 for x = (iii) f'(x) < 0 for x in (-∞0,0) (iv) f'(x) > 0 for x in (0,00) (v) f(x) < 0 for a in (-∞, -1) and (1,00) (vi) lim f(x) = 3, lim f(x) = 3 2118 Summarize the properties of the function below and provide a sketch of your graph after the test.
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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Transcribed Image Text:Sketch a graph of a continuous function f with the following properties:
(i) f(x)=0 for x=0
(ii) f'(x)=0 for x = 0
(iii) f'(x) < 0 for x in (-∞0,0)
(iv) f'(x) > 0 for x in (0,00)
(v) f'(x) < 0 for x in (-∞, -1) and (1,00)
(vi) lim f(x) = 3, _lim f(x) = 3
1x
H-18
Summarize the properties of the function below and provide a sketch of your graph
after the test.
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