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Given F(x) = 3x3 -3x2 -8x + 7, Find the Intervals

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Essay

Given f(x) = 3x3 -3x2 -8x + 7, find the intervals where f is concave up and where f is concave down.

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Definitions:

Traits Passed

Characteristics or qualities that are genetically transferred from parents to offspring through the process of inheritance.

Common Ancestry

The shared genetic heritage between two or more entities, indicating they originated from the same ancestor.

Natural Selection

The process by which organisms better adapted to their environment tend to survive and produce more offspring, a core concept of evolutionary theory.

Genetic Evolution

The changes in allele frequencies within a population over time, due to mechanisms such as natural selection and genetic drift.

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