Consider the following function. f(x) = (0, 4) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (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. increasing decreasing

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Consider the following function.
fx) =- sin
(0, 4)
%3D
(a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.)
(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.
increasing
decreasing
(c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)
Transcribed Image Text:Consider the following function. fx) =- sin (0, 4) %3D (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (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. increasing decreasing (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.)
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