Consider the function f with the following properties: • f is continuous everywhere except at r = -1 • f(-3) = 1, f(-2) = 0, f(0) = -2 lim f(z) = +o, lim f(z) = -o, lim f(r) = 2, lim [f(z) – (-1- 1)] =0 %3D 2-1- (-00, -3) –3 | (-3,–2) | -2| (-2, –1) |(-1,0)| 0(0,+0) -1 undefined undefined Conclusions (a) Give the equations of all the asymptotes of the graph of f. (b) Fill out the last row of the table with conclusions on where f is increasing or decreasing, where its graph is concave up or concave down, and where it has relative extrema and points of inflection, if any. (c) Sketch the graph of f with emphasis on concavity. Label all asymptotes with their equations and important points with their coordinates.

Consider the function f with the following properties: • f is continuous everywhere except at r = -1 • f(-3) = 1, f(-2) = 0, f(0) = -2 lim f(z) = +o, lim f(z) = -o, lim f(r) = 2, lim [f(z) – (-1- 1)] =0 %3D 2-1- (-00, -3) –3 | (-3,–2) | -2| (-2, –1) |(-1,0)| 0(0,+0) -1 undefined undefined Conclusions (a) Give the equations of all the asymptotes of the graph of f. (b) Fill out the last row of the table with conclusions on where f is increasing or decreasing, where its graph is concave up or concave down, and where it has relative extrema and points of inflection, if any. (c) Sketch the graph of f with emphasis on concavity. Label all asymptotes with their equations and important 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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