Find the Value X at Which the Minimum of the Function

question 65

Multiple Choice

Find the value x at which the minimum of the function $f ( x ) = x ^ { 2 } - 2 x + 2$ occurs.

• A)1
• B) \(- \frac { 1 } { 4 }\)
• C) \(- \frac { 1 } { 2 }\)
• D) \(\frac { 3 } { 4 }\)
• E)0
• F) \(\frac { 1 } { 4 }\)
• G)-1
• H) \(\frac { 1 } { 2 }\)

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Definitions:

Standard Deviations

An assessment measure that determines the degree of deviation or scattering of data points around the average.

Correlation R

A statistical measure known as Pearson's correlation coefficient that quantifies the degree and direction of linear relationship between two variables.

Cov(x,y)

The covariance between two variables X and Y, measuring how changes in one variable are associated with changes in a second variable.

Interquartile Range

A measure of statistical variability, defined as the difference between the third and first quartiles of a data set, indicating the spread of the middle 50% of the data.