The table shows the total employment in U.S. manufacturing, in millions, for selected years from 2010 and

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The table shows the total employment in U.S. manufacturing, in millions, for selected years from 2010 and projected to 2040.

(a) Find the cubic function that is the best model for the data. Use t as the number of years after 2010 and M(t) as the millions employed in U.S. manufacturing. Report the model with three significant digit coefficients.

(b) Find the reported model's critical points and classify them.

(c) Do you think this model will be accurate for years between the critical points? Explain.

U.S. Employment in Manufacturing (in millions) Employment 12.5 11.8 11.0 Year Year 2010 2015 Employment 11.5 12.4 12.8 1
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