$\text { Consider the function } f ( x ) = \frac { 20 } { \sqrt { x } } \text {, and its second-degree polynomial }$

question 73

Multiple Choice

$\text { Consider the function } f ( x ) = \frac { 20 } { \sqrt { x } } \text {, and its second-degree polynomial }$
$P _ { 2 } ( x ) = 20 - 10 ( x - 1 ) + \frac { 15 } { 2 } ( x - 1 ) ^ { 2 }$ at $x = 0.8$ . Compute the value of $f ( 0.8 )$ and $P _ { 2 } ( 0.8 )$ . Round your answer to four decimal places.

• A) \(f ( 0.8 ) \approx 22.3607 , P _ { 2 } ( 0.8 ) \approx 44.6000\)
• B) \(f ( 0.8 ) \approx 22.3607 , P _ { 2 } ( 0.8 ) \approx 22.3000\)
• C) \(f ( 0.8 ) \approx 45.7214 ; P _ { 2 } ( 0.8 ) \approx 45.6000\)
• D) \(f ( 0.8 ) \approx 21.3607 , P _ { 2 } ( 0.8 ) \approx 21.3000\)
• E) \(f ( 0.8 ) \approx 23.3607 , P _ { 2 } ( 0.8 ) \approx 22.3000\)

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Definitions:

Negative Correlation

A relationship between two variables where one variable increases as the other decreases, and vice versa.

Alcohol Consumption

The intake of beverages containing ethanol, which can have various effects on health and behavior depending on the amount and frequency of use.

Independent Variables

Factors in an experiment that are intentionally manipulated to observe their effect on dependent variables.

Dependent Variables

Variables in an experiment that are expected to change as a result of manipulations in the independent variables.