Problem

Union Membership U.S. union membership, in thousands, is given by f(x) = −5.864x2 + 947.52...

Union Membership U.S. union membership, in thousands, is given by f(x) = −5.864x2 + 947.522x − 19,022.113, where x is the number of years after 1900.

a. Graph this function for x = 40 to x = 110.


b. Does the model indicate that union membership increased or decreased for the years 1940 to 1980?


c. Until 1980, the data include dues-paying members of traditional trade unions, regardless of employment status. After that, the data include employed only. How is this reflected in the graph of the function?

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