35

Chapter 8 – Exponential and Logarithmic Functions A n s w

  • Upload
    others

  • View
    1

  • Download
    0

Embed Size (px)

Citation preview

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.1 Exponential Growth Function

Answers

1.ans­0801­01

(0, 1), , ,

2.ans­0801­02

(0, ­1), , ,

CK­12 Algebra II with Trigonometry Concepts 1

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 2

Chapter 8 – Exponential and Logarithmic Functions Answer Key

3.ans­0801­03

(0, ­1), , ,

4.ans­0801­04

(0, 2), , ,

CK­12 Algebra II with Trigonometry Concepts 3

Chapter 8 – Exponential and Logarithmic Functions Answer Key

5.ans­0801­05

(0, 216), , ,

6.ans­0801­06

(0, 2.75), , ,

CK­12 Algebra II with Trigonometry Concepts 4

Chapter 8 – Exponential and Logarithmic Functions Answer Key

7.ans­0801­07

(0, 343), , ,

8.ans­0801­08

(0, 1.99), , ,

CK­12 Algebra II with Trigonometry Concepts 5

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 6

Chapter 8 – Exponential and Logarithmic Functions Answer Key

9.ans­0801­09

(0, 1), , ,

10.(0, 1); any number to the zero power is always 1, .

11.

12.63 games

13.67 games

14.$16,289

15.$26,533

CK­12 Algebra II with Trigonometry Concepts 7

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.2 Exponential Decay Function

Answers

1. neither

2.exponential growth

3.exponential growth

4.exponential decay

5.exponential growth

6. neither

7.exponential decay (barely!)

8.ans­0801­10

(0, 1), , ,

CK­12 Algebra II with Trigonometry Concepts 8

Chapter 8 – Exponential and Logarithmic Functions Answer Key

9.ans­0801­11

(0,0.64), , ,

10.ans­0801­12

(0, 1), , ,

CK­12 Algebra II with Trigonometry Concepts 9

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 10

Chapter 8 – Exponential and Logarithmic Functions Answer Key

11.ans­0801­13

(0, 2), , ,

12.ans­0801­14

(0, ­1.45), , ,

CK­12 Algebra II with Trigonometry Concepts 11

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 12

Chapter 8 – Exponential and Logarithmic Functions Answer Key

13.ans­0801­15

(0, 5.78), , ,

14.Answers will vary.

15. a.

b. $29.52

c. 7 weeks

CK­12 Algebra II with Trigonometry Concepts 13

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.3 Using Exponential Growth and Decay Models

Answers

1. $61,600

2. $8,089

3.Yes, week 15 is 20.9 mi

4. $31,200

5. $143,000

6. $377,000

7.168,156 children

8. 15 years

9. $17,890

10.$10,759

11.$40,870

12.$16,405

13.$18,500

14. $7800

15. 7%

CK­12 Algebra II with Trigonometry Concepts 14

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.4 The Number e

Answers

1.growth,

2.decay, and

3.decay,

4.decay, and

5.

6.

7.

8.

9. 173,325

10. 2025

11.$19,666

12. $7530

13.

14. $171

15.$10,750

CK­12 Algebra II with Trigonometry Concepts 15

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.5 Defining Logarithms

Answers

1.

2.

3.

4.

5.

6.

7. 2

8. ­3

9. ­1

10. 6

11. 1.857

12. 2.079

13. 3.585

14. 2

15. 1.445

CK­12 Algebra II with Trigonometry Concepts 16

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 17

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.6 Inverse Properties of Logarithmic Functions

Answers

1. 3x

2. ­x

3. ­5x

4. x + 3

5. 2x – 2

6. 3x

7. x – 7

8. ­6x

9. 5x – 3

10.

11.

12.

13.

14.

15.

CK­12 Algebra II with Trigonometry Concepts 18

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.7 Graphing Logarithmic Function

Answers

1.ans­0802­01

; D: ; R:

2.ans­0802­02

; D: ; R:

CK­12 Algebra II with Trigonometry Concepts 19

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 20

Chapter 8 – Exponential and Logarithmic Functions Answer Key

3.ans­0802­03

; D: ; R:

4.ans­0802­04

CK­12 Algebra II with Trigonometry Concepts 21

Chapter 8 – Exponential and Logarithmic Functions Answer Key

; D: ; R:

CK­12 Algebra II with Trigonometry Concepts 22

Chapter 8 – Exponential and Logarithmic Functions Answer Key

5.ans­0802­05

; D: ; R:

6.ans­0802­06b

; D: ; R:

CK­12 Algebra II with Trigonometry Concepts 23

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 24

Chapter 8 – Exponential and Logarithmic Functions Answer Key

7.ans­0802­07b

8.ans­0802­08b

CK­12 Algebra II with Trigonometry Concepts 25

Chapter 8 – Exponential and Logarithmic Functions Answer Key

CK­12 Algebra II with Trigonometry Concepts 26

Chapter 8 – Exponential and Logarithmic Functions Answer Key

9.ans­0802­09b

10.ans­0802­10

CK­12 Algebra II with Trigonometry Concepts 27

Chapter 8 – Exponential and Logarithmic Functions Answer Key

11. ans­0802­11

12.ans­0802­12

13. yes

14. no

15. yes

CK­12 Algebra II with Trigonometry Concepts 28

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.8 Product and Quotient Properties of Logarithms

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14. Start with and and . Convert each into exponential form, divide and use the powers of exponents. Students must provide proof.

CK­12 Algebra II with Trigonometry Concepts 29

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.9 Power Property of Logarithms

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14. or

CK­12 Algebra II with Trigonometry Concepts 30

Chapter 8 – Exponential and Logarithmic Functions Answer Key

15.

CK­12 Algebra II with Trigonometry Concepts 31

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.10 Solving Exponential Equations

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

CK­12 Algebra II with Trigonometry Concepts 32

Chapter 8 – Exponential and Logarithmic Functions Answer Key

15.

CK­12 Algebra II with Trigonometry Concepts 33

Chapter 8 – Exponential and Logarithmic Functions Answer Key

8.11 Solving Logarithmic Equations

Answers

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

CK­12 Algebra II with Trigonometry Concepts 34

Chapter 8 – Exponential and Logarithmic Functions Answer Key

15.

CK­12 Algebra II with Trigonometry Concepts 35