GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except at x = -2, f(-1)=0, f(0) = -3, f(2)=-1, and f(-2) is undefined, • lim f(x)= +00, lim f(x)=0, lim f(x) = 0, and x4-2 8418 the table of signs for f' and f" is given below: (-∞,-2)-2 (-2,-1) -1 (-1,0) 0 (0,2) 2 (2+0) + dne - + dne + + dne + 0 f"(x) + dne + 0 - 1. Give the equations of all the linear asymptotes of the graph of f. 2. Determine the intervals where f is increasing or decreasing and where f is concave up or concave down. Identify the relative extremum points and points of inflection, if there are any. 3. Sketch the graph of f with emphasis on concavity. Label all the intercept points, rel- ative extremum points, and inflection points with their respective coordinates, and the asymptotes with their respective equations.

GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except at x = -2, f(-1)=0, f(0) = -3, f(2)=-1, and f(-2) is undefined, • lim f(x)= +00, lim f(x)=0, lim f(x) = 0, and x4-2 8418 the table of signs for f' and f" is given below: (-∞,-2)-2 (-2,-1) -1 (-1,0) 0 (0,2) 2 (2+0) + dne - + dne + + dne + 0 f"(x) + dne + 0 - 1. Give the equations of all the linear asymptotes of the graph of f. 2. Determine the intervals where f is increasing or decreasing and where f is concave up or concave down. Identify the relative extremum points and points of inflection, if there are any. 3. Sketch the graph of f with emphasis on concavity. Label all the intercept points, rel- ative extremum points, and inflection points with their respective coordinates, and the asymptotes with their respective equations.

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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