Consider the function f(x) = 5(x − 4)2/³.(a) Find all critical numbers c of f.(b) f is increasing for a € (4,infinity)C =(c) f is decreasing for x = (-infinity,4)(d) f is concave up for x E none(e) f is concave down for x ENote: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer,input none.

Answered: Image /qna-images/answer/93554d11-0e52-464b-bbb4-f1548dd276a0.jpg

Answered: Consider the function f(x) = 5(x-4)2/³.

Math

Calculus

Consider the function f(x) = 5(x-4)2/³.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

Consider the function f(x) = 5(x − 4)2/³.
(a) Find all critical numbers c of f.
(b) f is increasing for a € (4,infinity)
C =
(c) f is decreasing for x = (-infinity,4)
(d) f is concave up for x E none
(e) f is concave down for x E
Note: Input U, infinity, and -infinity for union, ∞, and -∞, respectively. If there are multiple answers, separate them by commas. If there is no answer,
input none.

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