III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of signs of f'(x) and f"(x) and the properties satisfied by f(x). (-∞, -1) -1 (-1,0) 0 f(x) f'(x) + + + 0 -1 0 (0, 1) 1 (1, +∞) lim f(x) = -x, f(3) = 0 r⇒1 - und. und. + f"(x) + 0 - - und. 1. Determine the equations of the two line asymptotes of f. 2. Identity the relative extremum points a points of inflection, if there are any. 3. Sketch the graph of f with emphasis concavity. Label all the intercept poin relative extremum points, and inflecti points with their respective coordinat and the asymptotes with their respecti
III. Consider a function f that is continuous everywhere except at x = 1. Given below is t table of signs of f'(x) and f"(x) and the properties satisfied by f(x). (-∞, -1) -1 (-1,0) 0 f(x) f'(x) + + + 0 -1 0 (0, 1) 1 (1, +∞) lim f(x) = -x, f(3) = 0 r⇒1 - und. und. + f"(x) + 0 - - und. 1. Determine the equations of the two line asymptotes of f. 2. Identity the relative extremum points a points of inflection, if there are any. 3. Sketch the graph of f with emphasis concavity. Label all the intercept poin relative extremum points, and inflecti points with their respective coordinat and the asymptotes with their respecti
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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