See Examples 2, 3, 10, and 11 as you do Exercise.
Business The following graph from the U.S. Office of Management and Budget shows the federal debt from 1990 to 2006 (in billions of dollars), with x = 0 corresponding to 1990.
Find the rule of a linear function g that passes through the two points corresponding to 1990 and 2006. Draw the graph of g.
Example 2
Graph the following function:
Solution:
Consider the two parts of the rule of f. The graphs of y = x +1 and y = −2x + 7 are straight lines. The graph of f consists of
Each of these line segments can be graphed by plotting two points in the appropriate interval, as shown in Figure 1.
Note that the left and right parts of the graph each extend to the vertical line through x = 2, where the two halves of the graph meet at the point (2, 3).
FIGURE 1
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