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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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