College Algebra 9th txtbk

SECTION 4–1 Polynomial Functions, Division, and Models 273
(B) If x 20 (which represents 2003), then
y 0.00013(20) 4 0.0067(20) 3 0.107(20) 2 0.59(20) 4.03 2.23
The consumption reported in the table, 2.53 quadrillion BTU, is 0.30 quadrillion BTU
greater than the consumption given by the model.
Technology Connections
Figure 9 shows the details of constructing the quartic model of Example 10 on a graphing calculator.
5
0
30
Z Figure 9
(a)
(b)
2
(c)
MATCHED PROBLEM 10 Use the quartic model of Example 10.
(A) Estimate the consumption of hydroelectric power in 2000.
(B) Compare the consumption of hydroelectric power in 1991 (as given by Table 2) to
the consumption given by the model.
ANSWERS TO MATCHED PROBLEMS
1. (A) 1, 1, 2
(B) The zeros are 5, 2, 2, 2i, 2i, 1 2i, and 1 2i; the x intercepts are 5, 2,
and 2.
2. (A) Properties 1 and 5
(B) Property 5
(C) Properties 1 and 5
3. (A) P(x) S as x S and P(x) S as x S .
(B) Q(x) S as x S and Q(x) S as x S .
4.
y
200
5
5
x
200
zeros: 1, 3; turning point; (2, 27)
5. 9x 2 24x 48 66
x 2