(a) Write the information given as a piecewise-defined function, and state the domain for...

(a) Write the information given as a piecewise-defined function, and state the domain for piece by inspecting the graph. (b) Give the range of.

Decline of newspaper publishing: From the turn of the twentieth century, the number of newspapers (per thousand population) grew rapidly until the 1930s, when the growth slowed down and then declined. The years 1940 to 1946 saw a “spike” in growth, but the years 1947 to 1954 saw an almost equal decline. Since 1954 the number has continued to decline, but at a slower rate.

The number of papers N per thousand population for each period, respectively, can be approximated by

N1(t) = −0.13t2 + 8.1t + 208,

N2(t) = −5.75|t − 46| + 374, and

N3(t) = −2.45t + 460.

Source: Data from the Statistical Abstract of the United States, various years; data from The First Measured Century, The AEI Press, Caplow, Hicks, and Wattenberg, 2001.