Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). 49 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) XW (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, ente DNE.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x, y) =
Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c). 49 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) XW (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, ente DNE.) increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) 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
Related questions
Question
![Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c).
f(x) =
x²-49
(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. If an answer does not exist, ente
DNE.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema. (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%2F9fccc0d8-0c83-4e27-b7fc-964836c0c0e1%2F982c207a-73cd-4577-af8a-f0ee17c505ea%2Fb0nzxu_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following function. Use a graphing utility to confirm your answers for parts (a) through (c).
f(x) =
x²-49
(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. If an answer does not exist, ente
DNE.)
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)
relative maximum (x, y) =
relative minimum (x, y) =
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