Name———————————————————————— Lesson
4.1
Date —————————————
Practice B
For use with the lesson “Graph Exponential Growth Functions”
Match the function with its graph.
4 x
1. f(x) 5 ​ }
​ 3 ​  ​ 2 3
1  2
y
A.
3. f (x) 5 24x 1 1 1 1
2. f (x) 5 3x 1 2
y
B.
y
C.
(1, 5)
4
(0, 3)
2
2
2
(21, 0)
x
2
(0, 22)
x
(0, 23)
4
x
(1, )
5
23
Graph the function. State the domain and range.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
y
2
1
2
x
2
x
2
8. f (x) 5 22(3x 1 1) 1 2
7. f(x) 5 2x 2 2 2 3
y
y
1
6. f (x) 5 23x 1 1
5. f (x) 5 2x 1 1
y
y
2
x
x
3 x
9. f (x) 5 ​ }
​ 2 ​  ​ 2 2
1  2
y
2
2
Lesson 4.1
4. f(x) 5 4x 2 2
2
2
x
2
x
In Exercises 10–12, use the following information.
Account Balance You deposit $3500 in an account that earns 2.5% annual interest.
Find the balance after one year if the interest is compounded with the given frequency.
10. annually
11. quarterly
12. monthly
In Exercises 13–15, use the following information.
Population From 1990 to 2000, the population of California can be modeled by
P 5 29,816,591(1.0128)t where t is the number of years since 1990.
13. What was the population in 1990?
14. What is the growth factor and annual percent increase?
15. Estimate the population in 1997.
Algebra 2
Chapter Resource Book
4-7
Answers for Chapter 4
Lesson 4.1 Graph Exponential
Growth Functions
Exponential and Logarithmic Functions
7.
; domain: all real numbers;
range: y > 23
y
2
Teaching Guide
x
2
1
2
3
4
5
x21
1. 8; 16; 32 2. 2 , 2 , 2 , 2 , 2 , 2 , 2
where
18
x is the number of the square 3. 9.22 310 ; no
8.
Practice Level A
1. B 2. A 3. D 4. F 5. C 6. E
7.
y
8.
; domain: all real numbers;
range: y < 2
y
2
y
answers
0
x
2
4
2
2
x
2
x
9.
; domain: all real numbers;
range: y > 22
y
2
9.
y
10.
y
x
2
4
2
2
x
2
x
10. $3587.50 11. $3588.32 12. $3588.51
13. 29,816,591 14. 1.0128; 1.28%
11.
y
12.
15. 32,592,962
y
Practice Level C
4
2
2
x
1.
2
; domain: all real numbers;
range: y > 23
y
x
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
2
4
x
13. $5150.00 14. $5151.70 15. $5152.08
Practice Level B
2.
1. C 2. A 3. B
4.
; domain: all real numbers;
range: y > 0
y
1
1
2
2
4
2
; domain: all real numbers;
range: y < 0
y
2
2
x
x
4.
6.
; domain: all real numbers;
range: y < 3
y
2
; domain: all real numbers;
range: y > 1
y
2
x
x
3.
5.
; domain: all real numbers;
range: y > 1
y
; domain: all real numbers;
range: y > 25
y
2
2
x
x
Algebra 2
Chapter Resource Book
A47