$\text { Locate the absolute extrema of the function } g ( t ) = \frac { t ^ { 2 } } { t ^ { 2 } + 2 } \text { on the closed interval }$

question 99

Multiple Choice

$\text { Locate the absolute extrema of the function } g ( t ) = \frac { t ^ { 2 } } { t ^ { 2 } + 2 } \text { on the closed interval }$ $[ - 3,3 ] \text {. }$

• A) The absolute maximum is \(\frac { 9 } { 11 }\), and it occurs at the critical number \(x = 0\).
• The absolute minimum is \(\frac { 9 } { 5 }\), and it occurs at the left endpoint \(x = - 3\).
• B) The absolute maximum is \(\frac { 9 } { 11 }\), and it occurs at either endpoint \(x = \pm 3\).
• The absolute minimum is 0 , and it occurs at the critical number \(x = 0\).
• C) The absolute maximum is \(\frac { 9 } { 11 }\), and it occurs only at the left endpoint \(x = - 3\).
• The absolute minimum is 0 and it occurs at the critical number \(x = 0\).
• D) The absolute maximum is \(\frac { 9 } { 11 }\), and it occurs at the critical number \(x = 0\).
• The absolute minimum is \(\frac { 9 } { 5 }\), and it occurs at the right endpoint \(x = 3\).
• E) The absolute maximum is \(\frac { 9 } { 11 }\), and it occurs only at the right endpoint \(x = 3\) The absolute minimum is 0 and it occurs at the critical number \(x = 0\).

Discuss the theoretical arguments for and against income redistribution and its effect on societal utility.

Understand the concept of Universal Basic Income and its intended impact on income equality.

Grasp how discrimination in the labor market, including taste-based and statistical discrimination, affects wage disparities and occupational segregation.

Understand the concept and relevance of the Lorenz curve in representing income distribution.

---

Definitions:

Academic Success

Achievements in educational pursuits, often measured by grades, scholarships, or obtaining degrees and certifications.

Intelligence Test Scores

Quantitative measures of a person's intelligence relative to others, often used in educational and clinical settings.

Normal Curve

A bell-shaped curve representing the distribution of a set of data where most occurrences take place in the middle of the range.

Hispanic Americans

Individuals of Hispanic origin living in the United States, encompassing a diverse range of cultures, traditions, and backgrounds.