Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x)=9|x4| (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing I (c) Apply the First Derivative Test to identify all relative extrema. relative maximum (x, y) = relative minimum (x, y) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 9ECP
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Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.)
f(x)=9|x - 41
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
X =
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema.
(x, y) =
relative maximum
I
relative minimum
(x, y) =
Transcribed Image Text:Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x)=9|x - 41 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (x, y) = relative maximum I relative minimum (x, y) =
Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.)
f(x) = +² +249
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
X =
(b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema.
(x, y) =
relative maximum
relative minimum
(x, y) =
Transcribed Image Text:Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). (If an answer does not exist, enter DNE.) f(x) = +² +249 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (x, y) = relative maximum relative minimum (x, y) =
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