Consider the following function. x +6 f(x) = %3D (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (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.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (х, у) %3D relative maximum (х, у)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Consider the following function.
x +6
f(x) =
%3D
(a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.)
(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.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)
relative minimum
(х, у) %3D
relative maximum
(х, у)
Transcribed Image Text:Consider the following function. x +6 f(x) = %3D (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (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.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (х, у) %3D relative maximum (х, у)
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