Answered: Identify the intervals of increase and…

Identify the intervals of increase and decrease, local minima and maxima, intervals of concavity and inflection points, and sketch the graph of the function. f(x) = x2/3(x-5)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 4ECP

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Question

Identify the intervals of increase and decrease, local minima and maxima, intervals of concavity and inflection points, and sketch the graph of the function.

f(x) = x^2/3(x-5)

Formula Formula A function f ( x ) is also said to have attained a local minimum at x = a , if there exists a neighborhood ( a − δ , a + δ ) of a such that, f ( x ) > f ( a ) , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a f ( x ) − f ( a ) > 0 , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a In such a case f ( a ) is called the local minimum value of f ( x ) at x = a .

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