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:

DNA

The molecule that encodes genetic information in the nucleus of cells, determining the structure, function, and behavior of living organisms.

Junk DNA

A term formerly used to describe portions of the DNA sequence that do not encode for proteins, though many such regions are now known to have regulatory functions.

Gene Function

The specific biological role or activity of a gene product (either RNA or protein), which can influence an organism's traits and is essential for understanding genetics and molecular biology.

Genes

Units of heredity made up of DNA that act as instructions to make molecules called proteins.