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:

Decision Making

The cognitive process of selecting a course of action from multiple alternatives, typically aimed at achieving a specific goal or solving a problem.

Rationality

A logical, step-by-step approach to decision making, with a thorough analysis of alternatives and their consequences.

Logical Approach

A method of problem solving or decision making that is based on clear, rational, coherent, and systematic principles or steps.

Decision Making

The cognitive process of selecting a course of action from among multiple alternatives.