$\text { Locate the absolute extrema of the function } f ( x ) = \cos ( \pi x ) \text { on the closed interval }$

question 8

Multiple Choice

$\text { Locate the absolute extrema of the function } f ( x ) = \cos ( \pi x ) \text { on the closed interval }$ $\left[ 0 , \frac { 1 } { 2 } \right]$

• A) absolute max: \(( 0,1 ) ;\) absolute min: \(\left( \left( \frac { 1 } { 2 } \right) , \cos \left( \frac { \pi } { 2 } \right) \right)\)
• B) absolute max: \(\left( \left( \frac { 1 } { 2 } \right) , \cos \left( \frac { \pi } { 2 } \right) \right) ;\) absolute min: \(( 0,1 )\)
• C) absolute max: \(\left( \left( \frac { 1 } { 2 } \right) , \cos \left( \frac { \pi } { 2 } \right) \right) ;\) no absolute min
• D) no absolute max; absolute min: \(( 0,1 )\)
• E) absolute max: \(( 0,1 )\); no absolute min

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Definitions:

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