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question 22

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For the function For the function   : ​ (a)  Find the critical numbers of f (if any) ; (b)  Find the open intervals where the function is increasing or decreasing; and (c)  Apply the First Derivative Test to identify all relative extrema. ​ Then use a graphing utility to confirm your results. ​ A)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   ; relative min:   B)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:   C)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   ; no relative min. D)  (a)    (b)  increasing:   ; decreasing:   (c)  relative max:   ; relative min:   E)  (a)    (b)  decreasing:   ; increasing:   (c)  relative min:   ; relative max:  : ​
(a) Find the critical numbers of f (if any) ;
(b) Find the open intervals where the function is increasing or decreasing; and
(c) Apply the First Derivative Test to identify all relative extrema.

Then use a graphing utility to confirm your results.


Definitions:

Football Games

Competitive sporting events involving two teams aiming to score points by moving a ball into the opposing team's end area, primarily through kicking, carrying, or passing.

Marginal Benefit

The extra pleasure or benefit derived from consuming an additional unit of a product or service.

Marginal Cost

The cost of producing one additional unit of a product.

Society's Well-Being

A condition where the general population experiences a high level of health, happiness, and prosperity.

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