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The number of new businesses established in the US since 1990 can be modeled by the...

The number of new businesses established in the US since 1990 can be modeled by the function Nx=110.8x^3-5305.5x^2+76,701x+332,892 where x = 0 represents 1990 and the domain is [0, 25].      

1) What was the average rate of change in the number of new businesses established between 2000 and 2010? Don’t forget to label and interpret the answers.  

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Colby Messinger answered 1 year ago
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The number of new businesses established in the US since 1990 can be modeled by the function Nx=110.8x^3-5305.5x^2+76,701x+332,892 where x = 0 represents 1990 and the domain is [0, 25]. Use the First Derivative Test to determine the extrema of the function on the given domain. Classify as max/min and absolute/relative. For what intervals does the function increase/decrease? Please label and interpret each answer in the context of this problem.
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The number of new businesses established in the US since 1990 can be modeled by the function Nx=110.8x^3-5305.5x^2+76,701x+332,892 where x = 0 represents 1990 and the domain is [0, 25]. 6. Use the Second Derivative Test to discuss the concavity of this function on the given interval. What is the POI? Interpret the meaning of the POI in the context of this problem.           
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