Consider the function below. f(x) = -4x2 + 8x + 9 (a) Find the critical numbers of f. (Enter your answers as a comma- separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (-0, 3) increasing (3, 0) decreasing (c) Apply the First Derivative Test to identify the relative extrema. (If an answer does not exist, enter DNE.) dne (х, у) %3D relative minimum х) 3, 13 (х, у) %3D relative maximum
Consider the function below. f(x) = -4x2 + 8x + 9 (a) Find the critical numbers of f. (Enter your answers as a comma- separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (-0, 3) increasing (3, 0) decreasing (c) Apply the First Derivative Test to identify the relative extrema. (If an answer does not exist, enter DNE.) dne (х, у) %3D relative minimum х) 3, 13 (х, у) %3D relative maximum
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Consider the function below.
f(x) = -4x2 + 8x + 9
(a) Find the critical numbers of f. (Enter your answers as a comma-
separated list.)
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answer using interval notation. If an answer
does not exist, enter DNE.)
(-0, 3)
increasing
(3, 0)
decreasing
(c) Apply the First Derivative Test to identify the relative extrema. (If an
answer does not exist, enter DNE.)
dne
(х, у) %3D
relative minimum
х)
3, 13
(х, у) %3D
relative maximum](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4fe7c96-9455-4548-8e4c-6c37f60eae9e%2F4f943995-5dab-428d-8c2e-5a7f98e697fe%2Fghlh8m.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function below.
f(x) = -4x2 + 8x + 9
(a) Find the critical numbers of f. (Enter your answers as a comma-
separated list.)
(b) Find the open intervals on which the function is increasing or
decreasing. (Enter your answer using interval notation. If an answer
does not exist, enter DNE.)
(-0, 3)
increasing
(3, 0)
decreasing
(c) Apply the First Derivative Test to identify the relative extrema. (If an
answer does not exist, enter DNE.)
dne
(х, у) %3D
relative minimum
х)
3, 13
(х, у) %3D
relative maximum
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