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

question 322

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.
-

• A) Local minimum at \(x = 2\); local maximum at \(x = 0\); concave down on \(( 0 , \infty )\); concave up on \(( \infty , 0 )\)
• B) Local minimum at \(x = 2\); local maximum at \(x = 0\); concave up on \(( 0 , \infty )\); concave down on \(( - \infty , 0 )\)
• C) Local minimum at \(x = 0\); local maximum at \(x = 2\); concave up on \(( 0 , \infty )\); concave down on \(( - \infty , 0 )\)
• D) Local minimum at \(x = 0\); local maximum at \(x = 2\); concave down on \(( 0 , \infty )\); concave up on \(( - \infty , 0 )\)

---

Definitions:

Inductive Reasoning

A logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion.

Deductive Reasoning

A logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Survey Research

A method for collecting data and information about individuals by asking them questions and analyzing their responses.

Experimenter Bias

A form of bias introduced by the researcher's expectations or preferences that can affect the outcome of an experiment or study.