Find the Function with the Given Derivative Whose Graph Passes $$f ^ { \prime } ( x ) = x - 9 , P ( 2 , - 10 )$$

question 42

Multiple Choice

Find the function with the given derivative whose graph passes through the point P.
- $$f ^ { \prime } ( x ) = x - 9 , P ( 2 , - 10 )$$

• A) \(f ( x ) = \frac { x ^ { 2 } } { 2 } - 9 x + 6\)
• B) \(f ( x ) = x ^ { 2 } - 9 x\)
• C) \(f ( x ) = \frac { x ^ { 2 } } { 2 } - 9 x + 7\)
• D) \(f ( x ) = x ^ { 2 } - 9 x + 4\)

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Definitions:

Mean

The arithmetic average of a set of numbers, calculated by summing them and dividing by the number of numbers.

Area

A quantity expressing the two-dimensional size or extent of a shape or surface, typically measured in square units.

Variance

A measure of dispersion in a set of data points, calculated by taking the average of the squared differences from the mean.

Standard Deviation

A statistic that quantifies the dispersion or variability of a dataset, measuring the average distance between each data point and the mean.