Answered: Suppose the graph of g(x) has two…

Suppose the graph of g(x) has two relative(local) maxima and one relative(local) minimum. What is the minimum degree of g(x)

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 42E: Use the graph to identify any local maxima and local minima.

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Suppose the graph of g(x) has two relative(local) maxima and one relative(local) minimum. What is the minimum degree of g(x)?

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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