Formulate an application problem that could be modeled mathematically through the graph of the function y x2 2xx2 x1 from Discussion 1 Some examples are the cost functions (manufacturing, production, distribution, transportation, installation, setup, etc ), economy charts, population functions, and modeling an epidemic For further assistance, newspapers, magazines, and news sites are filled with various data and corresponding graphs Answer the following questions For what values of the independent variable does the function have a practical interpretation in the context of your application problem Explain In Desmos, draw the graph of the first derivative function and interpret it in the context of your application problem Find all values, for which the first derivative of the function is 0 and interpret them in the context of your application problem In Desmos, draw the graph of the second derivative function and interpret it in the context of your application problem Find all values, for which the second derivative of the function is 0 and interpret them in the context of your application problem There are multiple due dates in this assignment Remember to use the Canvas Equation Editor Refer to the Tools for Mathematics page in the Course Specific Information module for technical guidance

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Formulate an application problem that could be modeled mathematically through the graph of the function y=x2+2xx2+x1 from Discussion 1. Some examples are the cost functions

Formulate an application problem that could be modeled mathematically through the graph of the function y=x2+2xx2+x1 from Discussion 1. Some examples are the cost functions (manufacturing, production, distribution, transportation, installation, setup, etc.), economy charts, population functions, and modeling an epidemic. For further assistance, newspapers, magazines, and news sites are filled with various data and corresponding graphs.
Answer the following questions:
- For what values of the independent variable does the function have a practical interpretation in the context of your application problem? Explain.
- In Desmos, draw the graph of the first derivative function and interpret it in the context of your application problem.
- Find all values, for which the first derivative of the function is 0 and interpret them in the context of your application problem.
- In Desmos, draw the graph of the second derivative function and interpret it in the context of your application problem.
- Find all values, for which the second derivative of the function is 0 and interpret them in the context of your application problem.

There are multiple due dates in this assignment. Remember to use the Canvas Equation Editor. Refer to the Tools for Mathematics page in the Course Specific Information module for technical guidance.