Graph the Function, Then Find the Extreme Values of the Function

question 265

Multiple Choice

Graph the function, then find the extreme values of the function on the interval and indicate where they occur.
- $y = | x - 1 | - | x - 4 |$ on the interval $- 2 < x < 7$

• A) Absolute maximum is 4 on the interval \( [4,7) \); Absolute minimum is \( -2 \) on the interval \( (-2,1] \)
• B) Absolute maximum is 3 on the interval \([ 4,7 )\); Absolute minimum is \(- 2\) on the interval \(( - 2,2 ]\)
• C)Absolute maximum is \( -3 \) on the interval \( [4,7) \); Absolute minimum is 3 on the interval \( (-2,1] \)
• D) Absolute maximum is 3 on the interval \( [4,7) \); Absolute minimum is \( -3 \) on the interval \( (-2,1] \)

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Definitions:

Web Log

Another term for a blog, which is a regularly updated website or web page, typically run by an individual or small group, that is written in an informal or conversational style.

Online Journal

A digital periodical publication that can be accessed via the internet, covering various academic or specialized subjects.

Variance

A measure of the dispersion or spread of a set of data points, calculated as the average of the squared deviations from the mean.

Mean

A measure of central tendency that is calculated by adding up all the values in a set and then dividing by the number of values.