NAME
DATE
9-6
PERIOD
Practice
Analyzing Functions with Successive Differences
Graph each set of ordered pairs. Determine whether the ordered pairs represent a
linear function, a quadratic function, or an exponential function.
(
) ( 3)
1
1
2. –1, −
, 0, −
, (1, 1), (2, 3)
1. (4, 0.5), (3, 1.5), (2, 2.5), (1, 3.5), (0, 4.5)
9
y
y
0
x
O
x
linear
exponential
3. (–4, 4), (–2, 1), (0, 0), (2, 1), (4, 4)
4. (–4, 2), (–2, 1), (0, 0), (2, –1), (4, –2)
y
y
x
0
0
x
quadratic
linear
5.
6.
7.
8.
x
–3
–1
1
3
5
y
–5
–2
1
4
7
x
–2
–1
0
1
y
0.02
0.2
2
20
3
1
linear; y = −
x -−
2
2
exponential; y = 210 x
2
200
x
–1
0
1
2
3
y
6
0
6
24
54
x
–2
–1
0
1
2
y
18
9
0
–9
–18
quadratic; y = 6x2
linear; y = -9x
9. INSECTS The local zoo keeps track of the number of dragonflies breeding in their insect
exhibit each day.
Day
1
2
3
4
5
Dragonflies
9
18
36
72
144
a. Determine which function best models the data. exponential
b. Write an equation for the function that models the data. y = 9 2 x
c. Use your equation to determine the number of dragonflies that will be breeding after
9 days. 4608 dragonflies
Chapter 9
38
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Look for a pattern in each table of values to determine which model best
describes the data. Then write an equation for the function that models the data.