NAME
DATE
1-2
PERIOD
Word Problem Practice
Analyzing Graphs of Functions and Relations
3. FACTORY The function relating a
machine setting x to the volume of the
product being built is modeled by the
function y = x3 + 15x2 + 75x + 75. The
least setting on the machine is 0.
Volume of Product
18,000
22
20
19
18
0
16
−12,000
15
4
6
20
40 x
−18,000
8
Setting
a. State the domain and range of the
function.
D = (-∞, ∞), R = (-∞, ∞)
b. Find the estimated number of visitors
in 2006 algebraically. 16,650
b. State the relevant domain and range
of the function.
c. In what year did the number of
visitors first exceed 20,000? 2007
D = [0, ∞), R = [0, ∞)
2. SHIPPING Shipping costs are shown in
the piecewise function below.
c. Use the graph to estimate the volume
with a machine setting of 20.
12
16,000 units3
11
10
d. Estimate the setting for a volume of
9000. 16
9
8
7
6
e. Find the volume when the machine is
set to 20 algebraically.
5
4
15,575 units3
3
2
f. Is the function even, odd, or neither?
Explain how you know.
Neither; f(-x) is not equal to
f(x) or -f(x).
1
0
10 20 30 40 50 60 70 80 90 100 110
Merchandise Cost ($)
a. State the domain and range of the
function. D = (0, ∞),
R = {4, 7, 10}
b. Use the graph to estimate the shipping
costs for a $245 package. $10
Chapter 1
13
Glencoe Precalculus
Lesson 1-2
2
a. Use the graph to estimate the
number of visitors to the park
in 2006. 16,700
Shipping Cost ($)
−40
17
Years since 2000
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
6000
−6000
0
y
12,000
21
Volume
Number of Visitors (thousands)
1. PARK The approximate numbers of
annual visitors to a park from 2000
through 2008 can be modeled using
v(x) = 0.05x3 - 0.51x2 + 1.81x + 13.35,
where x represents the number of years
since 2000.
Park Data