Oil Imports from Mexico The following table shows U.S. oil imports from Me...

Oil Imports from Mexico The following table shows U.S. oil imports from Mexico, for 2001–2006 (t = 1 represents 2001):

a. Find I (3), I (5), and I (6). Interpret your answers.

b. What is the domain of I ?

c. Represent I graphically, and use your graph to estimate I (4.5). Interpret your answer. HINT [See Quick Example 1.]

Quick Example 1:

A function specified numerically: Take f (t) to be the amount of Freon (in tons) produced in developing countries in year t since 2000, represented by the following table:

The domain of f is [0, 10], the independent variable is t, the number of years since 2000, and the dependent variable is f , the number of tons of freon produced in a year in developing countries. Some values of f are:

f (0) = 100 100 tons of freon were produced in developing countries in 2000.

f (6) = 270 270 tons of freon were produced in developing countries in 2006.

f (10) = 590 590 tons of freon were produced in developing countries in 2010.

Graph of f : Plotting the pairs (t, f (t)) gives the following graph: