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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
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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