Functionf(x)=1/x2+2

• Formulate an application problem that could be modeled mathematically through the graph of the function above. Some examples are the cost functions (manufacturing, production, distribution, transportation, installation, setup, etc.), economy charts, population functions, and modeling an epidemic.
• 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 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 and interpret them in the context of your application problem.

\fE Untitled Graph desmos Log In or Sign Up ? + O X f (x ) = 7 2 + 2 2x X 5 f ( x ) = ( x 2 + 2 ) 2 3 O f ( x ) = 8x2 X ( x 2 + 2) 3 (-0.816, 0.23) (0, 0) -10 -5 0 5 10 (0.816, -0.23) -5 powered by desmosUntitled Graph desmos Log In or Sign Up ? + N X f (x ) = * 2 + 2 2 O 2x X 5 f ( x ) = - ( x 2 + 2 ) 2 O X f (x ) = (x 2 + 2) 3 (0, 0.5) -10 -5 0 5 10 -5 powered by desmosUntitled Graph desmos Log In or Sign Up ? + O X f (x ) = x 2 + 2 2x X 5 O f ( x ) = ( x 2 + 2 ) 2 N 8x2 X f (x ): (x 2 + 2) 3 (-1, 0.296) (1, 0.296) -10 -5 0 5 10 (0, 0) -5 powered by desmos