Find the Area of the Region Under the Graph Of f

question 12

Multiple Choice

Find the area of the region under the graph of $f$ on $[ a , b ]$ .
$f ( x ) = x ^ { 2 } - 2 x + 4 ; \quad [ - 1,2 ]$

• A) 3
• B) \(- 12\)
• C) 12
• D) \(- 3\)

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Definitions:

Measurements

Quantitative data obtained by measuring objects or events using standard units.

Percentile

In statistics, this term refers to the threshold under which a specific percentage of data within a collection is observed.

Interquartile Range

The difference between the 75th and 25th percentiles of a dataset, representing the spread of the middle 50% of the data.

Tchebysheff's Theorem

A statistical theorem stating that for any distribution, the proportion of outcomes within k standard deviations of the mean is at least 1-1/k^2 for k>1.