Consider the function f with the following properties: f is continuous everywhere except at x = 2 f(−1) = −2, f(1) = 0, ƒ(3) = 5 lim f(x) = -1, lim f(x) = +00, lim f(x) = −3, lim [f(x) − (x + 1)] = 0 x-2- x 2+ X-00 x→+∞0 -00, 1) -1 (-1,1) 1 (1,2) 2 (2,3) 3 (3, +∞0) + + + 0 Dne 0 + - + 0 Dne + + + Conclusions 1. Give the equations of all the asymptotes of the graph of f. 2. Copy the table of signs in your answer sheets and fill out the last row of the table with conclusions on where fis increasing or decreasing, where its graph is concave up or concave down, and where it has relative extrema and points of inflection, if any. 3. Sketch the graph off 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 x = 2 f(−1) = −2, f(1) = 0, ƒ(3) = 5 lim f(x) = -1, lim f(x) = +00, lim f(x) = −3, lim [f(x) − (x + 1)] = 0 x-2- x 2+ X-00 x→+∞0 -00, 1) -1 (-1,1) 1 (1,2) 2 (2,3) 3 (3, +∞0) + + + 0 Dne 0 + - + 0 Dne + + + Conclusions 1. Give the equations of all the asymptotes of the graph of f. 2. Copy the table of signs in your answer sheets and fill out the last row of the table with conclusions on where fis increasing or decreasing, where its graph is concave up or concave down, and where it has relative extrema and points of inflection, if any. 3. Sketch the graph off 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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