676 CHAPTER 11 Nonlinear Functions, Conic Sections, and Nonlinear Systems
33.The bar graph shows online U.S. retail sales (in billions of dollars).
Growth in Online Sales
Source: U.S. Census Bureau.
Year
Sales
(in billions of dollars)
140
80
100
120
60
40
20
0
2000
$27.7
2001
$34.5
2002
$44.9
2003
$56.7
2005
$87.8
2004
$71.1
2006
$107.0
2007
$126.7
A reasonable model for sales yin billions of dollars is the exponential function defined by
where xis the number of years since 2000.
(a)Use the model to estimate sales in 2005. (Hint:Let .)
(b)Use the model to estimate sales in 2008.
34.Give the domain and range of the function defined by
Graph.
- 40.ƒ 1 x 2 = 3 x
x^2
4
-
y^2
16
ƒ 1 x 2 = 2 x- 2 = 1
x^2
25
+
y^2
16
ƒ 1 x 2 =- 3 x+ 5 ƒ 1 x 2 =- 21 x- 122 + 3 ... 1
ƒ 1 x)=|x- 3 |.
x= 5
y=28.43 1 1.25 2 x,
