Identify Intervals on Which the Function Is Increasing, Decreasing, or Constant

question 138

Multiple Choice

Identify intervals on which the function is increasing, decreasing, or constant.
- $$g ( x ) = 3 - ( x + 8 ) ^ { 2 }$$

• A) Decreasing: \(( - 8 , \infty )\); decreasing: \(( - \infty , - 8 )\)
• B) Increasing: \(( - \infty , 8 )\); decreasing: \(( 8 , \infty )\);
• C) Increasing: \(( 8 , \infty )\); decreasing: \(( - \infty , 8 )\)
• D) Increasing: \(( - \infty , - 8 )\); decreasing: \(( - 8 , \infty )\)

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Definitions:

Linear Regression

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation.

F-Test Statistic

A type of statistical test used to compare the variances of two populations or to test the significance of regression coefficients in a linear regression model.

Sum Of Squares

A statistical technique used to measure the variation or deviation of a set of values from the mean of those values.

Multiple Regression

A statistical technique that models and analyzes the relationship between a single dependent variable and two or more independent variables.