Use a Graphing Utility to Graph the Function $f ( x ) = \sqrt { x } + \cos \frac { x } { 2 } \text { and locate the }$

question 63

Multiple Choice

Use a graphing utility to graph the function $f ( x ) = \sqrt { x } + \cos \frac { x } { 2 } \text { and locate the }$ absolute extrema of the function on the interval $[ 0,2 \pi ]$

• A) left endpoint: \(( 0,1.000 )\) absolute minimum right endpoint: \(( 2 \pi , 1.507 )\) absolute maximum critical points: none
• B) left endpoint: \(( 0,0.000 )\) absolute minimum right endpoint: \(( 2 \pi , 2.507 )\) absolute maximum critical points: none
• C) left endpoint: \(( 0,1.000 )\) absolute minimum right endpoint: \(( 2 \pi , 1.507 )\)
• critical points: \(( 1.729,1.964 )\) absolute maximum
• D) left endpoint: \(( 0,2.507 )\) absolute maximum right endpoint: \(( 2 \pi , 0.000 )\) absolute minimum critical points: none
• E) left endpoint: \(( 0,1.000 )\) absolute minimum right endpoint: \(( 2 \pi , 1.964 )\) absolute maximum critical points: \(( 1.729,1.507 )\)

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Definitions:

Lytic Pathway

Bacteriophage replication pathway in which a virus immediately replicates in its host and kills it.

Viral DNA

The genetic material of a virus that is composed of DNA rather than RNA.

Circular Chromosome

A type of chromosome common in bacteria, characterized by its circular form, which contains the genetic information needed for the organism’s survival and reproduction.

Histones

Proteins around which DNA winds, forming a complex structure known as chromatin, which helps in the organization and regulation of genes.