Answered: Choose a cubic polynomial. Explain how…

Choose a cubic polynomial. Explain how to sketch it by following the standard steps: intercepts, critical points, local maximum/local minimum, inflection point(s), intervals of concavity.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section: Chapter Questions

Problem 14T

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Question

Choose a cubic polynomial. Explain how to sketch it by following the standard steps: intercepts, critical points, local maximum/local minimum, inflection point(s), intervals of concavity.

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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