Suppose that a function f(x) satisfies the following properties, together with the table of signs given below. • f lim [f(x) – (x+ 1)] = 0 • lim f(x) = is continuous on x +00 R\{2, –2} • f(1.5) = f(3) lim [f(x) – (x + 1)] = 0 lim f(x) = 0 = 2 x -00 x-2 -оо, —3) -3 (-3, –2) -2 -2,0) (0, 2) (2, +0) f (x) f'(x) f" (x) und 3 und und und und + und und und 1. Identify the equations of all the linear asymptotes of f. 2. Determine the intervals where the graph of f increasing/decreasing and concave up/down. 3. Identify the relative maximum/minimum points and points of inflection of f, if any. 4. Sketch a possible graph of f with emphasis on concavity. Label asymptotes with their equations and label all relevant points with their coordinates.
Suppose that a function f(x) satisfies the following properties, together with the table of signs given below. • f lim [f(x) – (x+ 1)] = 0 • lim f(x) = is continuous on x +00 R\{2, –2} • f(1.5) = f(3) lim [f(x) – (x + 1)] = 0 lim f(x) = 0 = 2 x -00 x-2 -оо, —3) -3 (-3, –2) -2 -2,0) (0, 2) (2, +0) f (x) f'(x) f" (x) und 3 und und und und + und und und 1. Identify the equations of all the linear asymptotes of f. 2. Determine the intervals where the graph of f increasing/decreasing and concave up/down. 3. Identify the relative maximum/minimum points and points of inflection of f, if any. 4. Sketch a possible graph of f with emphasis on concavity. Label asymptotes with their equations and label all relevant points with their coordinates.
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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