Consider the following function. f(x) = (8 – x)(x + 1)2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) х 3D —1. 4 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) |(-1,4) increasing |(-x, – 1), (4, 0) x decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) 8, relative maximum (х, у) %3D ) -1,0 (х, у) %3D relative minimum

Consider the following function. f(x) = (8 – x)(x + 1)2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) х 3D —1. 4 (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) |(-1,4) increasing |(-x, – 1), (4, 0) x decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) 8, relative maximum (х, у) %3D ) -1,0 (х, у) %3D relative minimum

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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