Determine Whether the Given Quadratic Function Has a Minimum Value $f ( x ) = x ^ { 2 } - 2 x - 5$

question 210

Multiple Choice

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of
the minimum or maximum point.
- $f ( x ) = x ^ { 2 } - 2 x - 5$

• A) maximum; \(( 1 , - 6 )\)
• B) minimum; \(( - 6,1 )\)
• C) minimum; \(( 1 , - 6 )\)
• D) maximum; \(( - 6,1 )\)

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Definitions:

Significantly Different

A term used in statistics to indicate that the observed differences between groups or variables are too large to be attributed to chance alone, according to a predefined level of significance.

T-Statistic

A value derived from sample data that is used in a t-test to determine if there is a significant difference between two groups.

Coefficient on Income

A numerical measure, often used in regression analysis, that represents the change in an outcome variable associated with a one-unit change in income.

Significantly Different

Used to describe when two or more sets of data are proven to be different beyond random chance, often determined through statistical testing.