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

question 53

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 maximum at \(x = 1\); local minimum at \(x = - 1\); concave up on \(( 0 , \infty )\); concave down on \(( - \infty , 0 )\)
• B) Local minimum at \(x = 1\); local maximum at \(x = - 1\); concave down on \(( 0 , \infty )\); concave up on \(( - \infty , 0 )\)
• C) Local minimum at \(x = 1\); local maximum at \(x = - 1\); concave up on \(( 0 , \infty )\); concave down on \(( - \infty , 0 )\)
• D) Local maximum at \(x = 1\); local minimum at \(x = - 1\); concave up on \(( - \infty , \infty )\)

---

Definitions:

Physiological Need

A basic bodily requirement, such as for food, water, or sleep, necessary for survival.

Drive Reduction Theory

A theory of motivation that posits individuals are motivated to take actions in order to reduce the internal tension caused by unmet needs.

Homeostasis

The tendency of a biological system to maintain stable internal conditions despite external changes.

Homeostasis

The tendency of a biological system to maintain stability while adjusting to conditions that are optimal for survival.