Answered: Using the given characteristics, draw a…

Using the given characteristics, draw a sketch of the quintic polynomial described below: Zeros: -4, -1, 1 (multiplicity of 2), 3 Local Maximum at x = 0 Local Minimum at x = 2

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 23SE: For the following exercises, consider the graph shown in Figure 16. Estimate the point(s) at which...

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Question

Using the given characteristics, draw a sketch of the quintic polynomial described below: Zeros: -4, -1, 1 (multiplicity of 2), 3 Local Maximum at x = 0 Local Minimum at x = 2

Formula Formula A function f(x) attains a local maximum 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 case, f(a) attains a local maximum value f(x) at x=a .

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