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Q: What are the relative minimum and relative maximum values over the interval [−4, 4] for the function shown in the graph?

 

 

Options: 

 

A. relative minimum = −6 , relative maximum = −15 and −9

 

B. relative minimum = −15 and −9 , relative maximum = −6

 

C. relative minimum = −4 , relative maximum = −15

 

D. relative minimum = 0, relative maximum = −9

 

Thank you in advance.

 May 13, 2020
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Relative minimum and relative maximum values of the function are the y-values of the function.

 

Relative minima occur at the bottom points of "valleys"; here they occur at (approximately) x = -3.75, x = 0, and x = 3.75 but they are (approximately) y = -15 (twice) and y = -9.  Remember to choose the y-values.

 

Relative maxima occur at the top points of "hills"; here they occur at (approximately) x = -1.75 and  x = 1.75 but the relative maximum is y = -6.

 May 13, 2020

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