Determine Where the Function Is Increasing and Where It Is $$f ( x ) = - 2 x ^ { 2 } - 2 x - 9$$

question 202

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = - 2 x ^ { 2 } - 2 x - 9$$

• A) decreasing on \(\left( - \infty , - \frac { 1 } { 2 } \right)\)
• increasing on \(\left( - \frac { 1 } { 2 } , \infty \right)\)
• B) increasing on \(\left( - \frac { 1 } { 2 } ,\infty , \right)\)
• decreasing on \(\left( -\frac { 1 } { 2 } , \infty \right)\)
• C) increasing on \(\left( - \infty , \frac { 1 } { 2 } \right)\)
• decreasing on \(\left( \frac { 1 } { 2 } , \infty \right)\)
• D) increasing on \(\left( - \infty , - \frac { 17 } { 2 } \right)\)
• decreasing on \(\left( - \frac { 17 } { 2 } , \infty \right)\)

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Definitions:

Variability

The measure of how much data points in a set differ from the average or mean value.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values around the mean, used to understand how spread out the data points are.

Heritability

The proportion of variation in traits in a population that can be attributed to genetic differences between individuals.

Correlation Coefficient

A statistical measure that describes the magnitude and direction of a relationship between two or more variables, typically ranging from -1 to 1.