Use the Graph of the Function F(x) to Locate the Local

question 346

Multiple Choice

Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up
and concave down.
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• A) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave down on \(( - \infty , - 3 )\) and \(( 3 , \infty )\); concave up on \(( - 3,3 )\)
• B) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave up on \(( 0 , \infty )\); concave down on \(( - \infty , 0 )\)
• C) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave down on \(( 0 , \infty )\); concave up on \(( - \infty , 0 )\)
• D) Local minimum at \(x = 3\); local maximum at \(x = - 3\); concave up on \(( - \infty , - 3 )\) and \(( 3 , \infty )\); concave down on \(( - 3,3 )\)

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Definitions:

Shared Environment

Aspects of the environment that individuals living together share and that contribute to making them similar in behavior and traits.

Family Background

The social, economic, and familial environment a person is raised in, which can influence their development and life choices.

Secret Lives

Aspects of an individual's life or experiences that they keep hidden from others, often due to fear of judgment or misunderstanding.

Rule Violation

An act of breaking or disregarding established rules or norms within a specific context or environment.