Solve the Problem $y = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e , a \neq 0$

question 59

Essay

Solve the problem.
-What can you say about the inflection points of the quartic curve $y = a x ^ { 4 } + b x ^ { 3 } + c x ^ { 2 } + d x + e , a \neq 0$ ? Give reasons for your answer.

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Definitions:

Voluntary Contract

An agreement entered into freely by two or more parties, where each party has the ability to accept or reject the terms of the agreement.

Competent Persons

Individuals who have the necessary ability, knowledge, or qualifications to perform a specific task or duty effectively.

Proportionately Shared

Equitably distributed or allocated among participants according to their respective shares, responsibilities, or contributions.

Limited Partnership

A business structure involving at least one general partner, who manages the business and is liable for debts, and one or more limited partners, whose liability is capped at their investment.