Dairy Farms The number of farms with milk cows in the United States can be modeled a...

Dairy Farms The number of farms with milk cows in the United States can be modeled as

where x is the number of years since 2000, based on data for years between 2001 and 2007.

(Source: Based on data from Statistical Abstract, 2007 and 2008)

a. Numerically estimate, to the nearest hundred farms, the end behavior of f as x increases without bound. Show the numerical estimation table starting at x = 5 and incrementing by multiplying by 2.

b. Write an equation for the horizontal asymptote for f found in part a.

c. Write a sentence interpreting the end behavior as the input increases without bound. Explain why this result makes sense or why it does not make sense.