Consider the following function. f(x) = X = (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) 4x + 1, increasing (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.) decreasing x < -1 X > -1 (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) (x, y) = relative maximum relative minimum (x, y) =
Consider the following function. f(x) = X = (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) 4x + 1, increasing (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.) decreasing x < -1 X > -1 (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) (x, y) = relative maximum 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
Related questions
Question
![Consider the following function.
[4x + 1,
1x² - 4,
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
X =
f(x):
=
increasing
(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.)
x < -1
X > -1
decreasing
(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
relative maximum (x, y) =
=
relative minimum (x, y)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ba58da1-aa6c-4b34-ac65-53856b97f0bf%2F0e79d306-e049-4ba1-8bb8-4136dd5cb717%2Fdga6gu_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following function.
[4x + 1,
1x² - 4,
(a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)
X =
f(x):
=
increasing
(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.)
x < -1
X > -1
decreasing
(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.)
relative maximum (x, y) =
=
relative minimum (x, y)
=
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