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Coordinate Algebra Name:_________________________________ Unit 3 Review Questions Date:________________ Multiple Choice Identify the choice that best completes the statement or answers the question. ____ 1. Which situation could be represented by the graph below? A A person slows down and then travels at a constant speed. C A person travels at a constant speed and then speeds up. B A person travels at a constant speed and then slows down. D A person speeds up and then travels at a constant speed. ____ 2. Which function is graphed for the domain {–2, 0, 2, 4}? A y = x – 1 C B y = |x| – 1 D y = |x – 1| ____ 3. Find the x-intercept of the equation x + 5y = 20. A 1 C 5 B 4 D 20

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Page 1:  · Web view____14.Ben has $100 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account balance by $20

Coordinate Algebra Name:_________________________________ Unit 3 Review Questions Date:________________

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Which situation could be represented by the graph below?

A A person slows down and then travels at a constant speed.

C A person travels at a constant speed and then speeds up.

B A person travels at a constant speed and then slows down.

D A person speeds up and then travels at a constant speed.

____ 2. Which function is graphed for the domain {–2, 0, 2, 4}?

A y = x – 1 CB y = |x| – 1 D y = |x – 1|

____ 3. Find the x-intercept of the equation x + 5y = 20.A 1 C 5B 4 D 20

____ 4. Which are the coordinates of the transformed points?

(4, –4); vertical compression of A (2, 2) C (2, –2)B (–2, 2) D (4, –2)

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____ 5. Which transformation describes the equation from its parent equation?f(x – 9)A horizontal shift right 9 units C vertical stretch by a factor of 9B vertical shift up 9 units D horizontal shift left 9 units

____ 6. Which equation describes the line with a slope of that contains the point (1, –2)?A B

____ 7. Determine which kind of model best describes this data set.{(–2, 1), (–1, 3), (0, 5), (1, 7), (2, 9)}

A linear C quadraticB exponential D none

____ 8. Which relation is represented by the mapping diagram below?

A {(3, 2), (5, 2), (7, 4)} C {(5, 2), (7, 4)}B {(2, 3), (4, 7)} D {(2, 3), (2, 5), (4, 7)}

____ 9. Which equation describes the line with a slope of 5 and y-intercept of –3?A y = –3x + 5 C y = 5x – 3B y = 3x – 5 D y = 5x + 3

____ 10. Which equation describes the line with a slope of 2 that contains the point ((4, –3)?A y – 4 = 2(x + 3) C y + 3 = 2(x – 4)B 2(y – 3) = x + 4 D 2(y + 4) = x + 3

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____ 11. What are the coordinates of the transformed point?

(2, –2); vertical compression of A (1, –1) C (2, –1)B (2, 1) D (4, –2)

____ 12. Which transformation describes the equation from its parent equation?

Aa horizontal shift left unit

Cvertical compression by a factor of

Ba vertical shift up unit

Dvertical shift down unit

____ 13. Which of the following relations is a function?A {(1, –6), (3, –5), (1, 0)} C {(6, 1), (6, 2), (6, 3)}B {(0, 5), (5, –1), (5, 9)} D {(0, 8), (1, 7), (2, 6)}

____ 14. Ben has $100 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account balance by $20 a year. Under plan B, he will increase his account balance by 15% each year. How much more will he save with plan B after 10 years?A $105 C $13B $46 D $1

____ 15. Which is the average rate of change over the interval [0, 2]?Equation AX 0 1 2 3Y 0 1 4 9

Equation Bf(x) = x + 5A A: 4; B: 1 C A: 2; B: 4B A: 2; B: 1 D A: 4; B: 3.5

____ 16. What is the y-intercept of the equations?Equation AX 0 1 2 3Y 0 1 4 9

Equation Bf(x) = x + 5A A: 0; B: 0 C A: 1; B: 0B A: 5; B: 0 D A: 0; B: 5

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____ 17. Determine which kind of model best describes this data set.{(–2, 1), (–1, 2), (0, 4), (1, 8), (2, 16)}

A linear C quadraticB exponential D none

____ 18. Which function could represent the following situation: “Tickets cost $8.50 each.”A f(t) = t + 8.50 C f(t) = 8.50tB D

____ 19. Evaluate the function f(x) = 2x + 8 when x = 6.A 16 C 28B 20 D 96

____ 20. Which is the dependent variable in the following situation?“Milk sells for $3.39 per gallon.”A number of gallons C expiration dateB total cost D time of purchase

____ 21. A car travels at 60 mi/h. The function f(x) = 60x gives the distance the cartravels in x hours. What is the range of this function?A C {0, 60, 120, 180...}B {1, 2, 3, ...} D all real numbers

____ 22. The table shows the price of a video game for different years since the game was released. During which time interval did the price decrease at the greatest rate?

Year 2000 2002 2003 2005 2007Price ($) 58 54 50 44 43

A 2000 to 2002 C 2003 to 2005B 2002 to 2003 D 2005 to 2007

____ 23. The graph of a function passes through the points (4, –2) and (6, 8). What are the coordinates of these points after the function has been stretched horizontally by a factor of 2?A (2, –2) and (3, 8) C (8, –2) and (12, 16)B (4, –4) and (6, 16) D (8, –2) and (12, 8)

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____ 24. Which of these describes the transformation in terms of f(x)?Vertical stretch of 9 unitsA 9f(x) C –9f(x)B f(x + 9) D f(x) + 9

____ 25. Which transformation describes the equation from its parent equation?

Ahorizontal shift left unit

Cvertical compression by a factor of

Bvertical shift up unit

Dvertical shift down unit

____ 26. Which of the following data sets is best described by a linear model?A {(–2, 4), ((–1, 9), (0, 16), (1, 25)} C {(–2, 12), (–1, 10), (0, 8), (1, 6)}B {(–2, –1), (–1,0), (0, 1), (1, 0)} D {(–2, 1), (–1, 0), (0, 1), (1, 4)}

____ 27. Which of the following models best describes the data set?{(5, 2), (6, 0), (7, 2), (8, 8)}A linear C exponentialB quadratic D none

Short Answer

28. Give the range of the relation.x 1 2 3 4y 2 2 5 6

29. Tell whether the relation is a function. Explain.{(–4, –1), (–3, 0), (–2, 1), (–1, 2)}

30. Write an equation in slope-intercept form that describes the line with a slope of 4 and y-intercept of 1.

31. The function in the table is reflected across the y-axis. What are the x-coordinates of the transformed function?x y1 52 43 34 25 1

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32. What is the parent function?(x – 3 ) + 1

33. Let g(x) be a vertical translation up 2 units followed by a reflection over the y-axis of f(x) = 3x – 4. Write the rule for g(x).

34. Determine which kind of model—linear, quadratic, exponential, or square-root—best describes this data set.{(–2, –2), (–1, –1), (0, 2), (1, 7), (2, 14)}

35. Which kind of model best describes the graph?

36. Which kind of model best describes the data set?X 1 2 3 4Y 0 1 0 –3

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37. Give the range of the relation.

38. At a convenience store, bottles of water cost $1.20. The function f(x) = 1.2x gives the cost of buying x bottles. Graph this function. Give its domain and range.

39. What are the coordinates of the transformed point?(3, 4); horizontal shift 1 unit left

40. Which kind of model best describes the graph?

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41. A car slows down to avoid a hole in the road and then travels at a constant speed. Choose the graph that best represents this situation.

42. Give the domain of the relation.

43. A recycling center pays 2 cents per aluminum can and 5 cents per glass bottle. The equation 2x + 5y = 100 describes the number of cans x and bottles y that you need to earn $1.00. What is the value of each intercept, and what does each represent?

44. This table shows the median age of women who were first married in different years. During which time interval did the age increase at the greatest rate? What was the rate of increase for that interval?

Year 1950 1980 1990 1995 2000Age (yr) 20.3 22.0 23.9 24.5 25.1

45. Let g(x) be a horizontal translation 2 units to the right, followed by a reflection over the y-axisof f(x) = 3x – 4. Write the rule for g(x).

46. Which kind of model best describes the data set?X 1 2 3 4Y 0.5 0.25 0 –0.25

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47. Emil has $2000 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account balance by $600 a year. Under plan B, he will increase his account balance by 25% each year. How much more will he save with Plan B after four years? Round your answer to the nearest whole.

48. What is the average rate of change over the interval [1, 4]?Equation AX 1 2 3 4Y 5 25 125 625

Equation Bf(x) = 5x – 1

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Name_________________________________________ Date____________________ Class___________________

Unit 3 Review QuestionsAnswer Section

MULTIPLE CHOICE

1. ANS: B DIF: 2 STA: MCC9-12.F.IF.4TOP: Unit 3 Test A DOK: DOK 1

2. ANS: B DIF: 2 STA: MCC9-12.F.IF.7TOP: Unit 3 Test A DOK: DOK 1

3. ANS: D DIF: 2 TOP: Unit 3 Test ADOK: DOK 1

4. ANS: D DIF: 2 STA: MCC9-12.F.BF.3TOP: Unit 3 Test A DOK: DOK 2

5. ANS: A DIF: 2 STA: MCC9-12.F.BF.3TOP: Unit 3 Test A DOK: DOK 1

6. ANS: B DIF: 2 STA: MCC9-12.A.CED.2TOP: Unit 3 Test A DOK: DOK 1

7. ANS: A DIF: 2 STA: MCC9-12.F.LE.1bTOP: Unit 3 Test A DOK: DOK 2

8. ANS: D DIF: 2 TOP: Unit 3 Test BDOK: DOK 1

9. ANS: C DIF: 2 STA: MCC9-12.F.IF.7 | MCC9-12.A.CED.2TOP: Unit 3 Test B DOK: DOK 1

10. ANS: C DIF: 2 STA: MCC9-12.A.CED.2TOP: Unit 3 Test B DOK: DOK 1

11. ANS: C DIF: 2 STA: MCC9-12.F.BF.3TOP: Unit 3 Test B DOK: DOK 2

12. ANS: C DIF: 2 STA: MCC9-12.F.BF.3TOP: Unit 3 Test B DOK: DOK 1

13. ANS: D DIF: 2 STA: MCC9-12.F.IF.1TOP: Unit 3 Test B DOK: DOK 1

14. ANS: A DIF: 2 STA: MCC9-12.F.LE.2 | MCC9-12.F.IF.2TOP: Unit 3 Test B DOK: DOK 2

15. ANS: B DIF: 2 STA: MCC9-12.F.IF.6 | MCC9-12.F.IF.9TOP: Unit 3 Test B DOK: DOK 1

16. ANS: D DIF: 2 STA: MCC9-12.F.IF.9 | MCC9-12.F.IF.4TOP: Unit 3 Test B DOK: DOK 1

17. ANS: B DIF: 2 STA: MCC9-12.F.LE.1cTOP: Unit 3 Test B DOK: DOK 2

18. ANS: C DIF: 2 STA: MCC9-12.F.LE.2TOP: Unit 3 Test C DOK: DOK 1

19. ANS: B DIF: 2 STA: MCC9-12.F.IF.2TOP: Unit 3 Test C DOK: DOK 1

20. ANS: A DIF: 2 TOP: Unit 3 Test CDOK: DOK 1

21. ANS: A DIF: 2 STA: MCC9-12.F.IF.5TOP: Unit 3 Test C DOK: DOK 2

22. ANS: B DIF: 2 STA: MCC9-12.F.IF.6TOP: Unit 3 Test C DOK: DOK 1

23. ANS: D DIF: 2 STA: MCC9-12.F.BF.3

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TOP: Unit 3 Test C DOK: DOK 224. ANS: A DIF: 2 STA: MCC9-12.F.BF.3

TOP: Unit 3 Test C DOK: DOK 125. ANS: B DIF: 2 STA: MCC9-12.F.BF.3

TOP: Unit 3 Test C DOK: DOK 126. ANS: C DIF: 2 STA: MCC9-12.F.LE.1b

TOP: Unit 3 Test C DOK: DOK 227. ANS: B DIF: 2 STA: MCC9-12.F.LE.1

TOP: Unit 3 Test C DOK: DOK 2

SHORT ANSWER

28. ANS:R: {2, 5, 6}

DIF: 2 STA: MCC9-12.F.IF.1 TOP: Unit 3 Test ADOK: DOK 1

29. ANS:yes; each domain value is paired with only one range value.

DIF: 2 STA: MCC9-12.F.IF.1 TOP: Unit 3 Test ADOK: DOK 1

30. ANS:y = 4x + 1

DIF: 2 STA: MCC9-12.F.IF.7a TOP: Unit 3 Test ADOK: DOK 1

31. ANS:–1, –2, –3, –4, –5

TOP: Unit 3 Test A32. ANS:

x

DIF: 2 STA: MCC9-12.F.BF.3 TOP: Unit 3 Test ADOK: DOK 1

33. ANS:g(x) = –3x – 2

DIF: 2 STA: MCC9-12.F.BF.3 | MCC9-12.F.BF.1TOP: Unit 3 Test A DOK: DOK 2

34. ANS:quadratic

DIF: 2 STA: MCC9-12.F.LE.1 TOP: Unit 3 Test ADOK: DOK 2

35. ANS:linear

DIF: 2 STA: MCC9-12.F.LE.1b TOP: Unit 3 Test ADOK: DOK 1

36. ANS:

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quadratic

DIF: 2 STA: MCC9-12.F.LE.1 TOP: Unit 3 Test ADOK: DOK 1

37. ANS:

DIF: 2 TOP: Unit 3 Test B DOK: DOK 138. ANS:

DIF: 2 STA: MCC9-12.F.IF.7a | MCC9-12.F.IF.5TOP: Unit 3 Test B DOK: DOK 1

39. ANS:(2, 4)

DIF: 2 STA: MCC9-12.F.BF.3 TOP: Unit 3 Test BDOK: DOK 1

40. ANS:exponential

DIF: 2 STA: MCC9-12.F.LE.1 TOP: Unit 3 Test BDOK: DOK 1

41. ANS:Graph A

DIF: 2 STA: MCC9-12.F.IF.4 TOP: Unit 3 Test CDOK: DOK 1

42. ANS:

DIF: 2 STA: MCC9-12.F.IF.5 TOP: Unit 3 Test CDOK: DOK 1

43. ANS:x-intercept: 50; 50 cans and no bottles earns $1.00.y-intercept: 20; no cans and 20 bottles earns $1.00.

DIF: 2 STA: MCC9-12.F.IF.4 TOP: Unit 3 Test CDOK: DOK 2

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44. ANS:1980 to 1990; 0.19 years per year

DIF: 2 STA: MCC9-12.F.IF.6 TOP: Unit 3 Test CDOK: DOK 2

45. ANS:g(x) = –3x – 10

DIF: 2 STA: MCC9-12.F.BF.3 TOP: Unit 3 Test CDOK: DOK 2

46. ANS:linear

DIF: 2 STA: MCC9-12.F.LE.1b TOP: Unit 3 Test CDOK: DOK 2

47. ANS:$483

DIF: 2 STA: MCC9-12.F.LE.2 | MCC9-12.F.IF.2TOP: Unit 3 Test C DOK: DOK 2

48. ANS:A: 60, B: 5

DIF: 2 STA: MCC9-12.F.IF.6 | MCC9-12.F.IF.9TOP: Unit 3 Test C DOK: DOK 1

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Linear and Exponential FunctionsTest Form A

Select the best answer.1. Which situation could be represented by

the graph below?

A A person slows down and then trav-els at a constant speed.

B A person travels at a constant speed and then slows down.

C A person travels at a constant speed and then speeds up.

D A person speeds up and then travels at a constant speed.

2. Which function is graphed for the domain {2, 0, 2, 4}?

F y x 1 H y x2 1G y |x| 1 J y |x 1|

3. Find the x-intercept of the equationx 5y 20.

A 1B 4C 5

D 204. Which are the coordinates of the trans-

formed point?

(4, 4); vertical compression of F (2, 2) H (2, 2)G (2, 2) J (4, 2)

5. Which transformation describes the equa-tion from its parent equation?

A horizontal shift right 9 unitsB vertical shift up 9 unitsC vertical stretch by a factor of 9D horizontal shift left 9 units

6. Which equation describes the line with a

slope of that contains the point (1, 2)?

F y 2 (x 1)

G y 2 (x 1)7. Determine which kind of model best de-

scribes this data set.{(2, 1), (1, 3), (0, 5), (1, 7), (2, 9)}

A linear C quadraticB exponential D none

Linear and Exponential Functions© Houghton Mifflin Harcourt Publishing Company

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Test Form A continued

8.Give the range of the relation.

x 1 2 3 4

y 2 2 5 6_________________________________________

9. Tell whether the relation is a function. Explain.{(4, 1), (3, 0), (2, 1), (1, 2)}_________________________________________ _________________________________________

10. Write an equation in slope-interceptform that describes the line with a slope of 4 and y-intercept of 1.__________________________________________

11. Which completes the table of the trans-formed function?Reflection across y-axis

x y1 52 43 34 25 1

F 5, 4, 3, 2, 1G 1, 2, 3, 4, 5H 1, 2, 3, 4, 5J 5, 4, 3, 2, 1

12. What is the parent function?

_______________________________

13. Let g(x) be a vertical translation up 2 units followed by a reflection over the y-axis of f(x) 3x 4. Write the rule for g(x).

_______________________________

14. Determine which kind of model—linear, quadratic, exponential, or square-root—best describes this data set.{(2, 2), (1, 1), (0, 2), (1, 7), (2, 14)}

15. Which kind of model best describesthe graph?

16. Which kind of model bestdescribes the data set?

X 1 2 3 4

Y 0 1 0 3

________________________________

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Linear and Exponential FunctionsTest Form B

Select the best answer.1. Which relation is represented by the

mapping diagram below?

A {(3, 2), (5, 2), (7, 4)}B {(2, 3), (4, 7)}C {(5, 2), (7, 4)}D {(2, 3), (2, 5), (4, 7)}

2. Which equation describes the line with a slope of 5 and y-intercept of 3?

F y 3x 5 H y 5x 3G y 3x 5 J y 5x 3

3. Which equation describes the line with a slope of 2 that contains the point (4, 3)?

A y 4 2(x 3) C y 3 2(x – 4)B 2(y – 3) x 4D 2(y 4) x 3

4. Which are the coordinates of the trans-formed point?

(2, 2); vertical compression of F (1, 1) H (2, 1)G (2, 1) J (4, 2)

5. Which transformation describes the equation from its parent equation?

A horizontal shift left unit

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B vertical shift up unitC vertical compression by a factor

of

D vertical shift down unit

6. Which of the following relations is a function?

F {(1, 6), (3, 5), (1, 0)}G {(0, 5), (5, 1), (5, 9)}H {(6, 1), (6, 2), (6, 3)}J {(0, 8), (1, 7), (2, 6)}

7. Ben has $100 in his savings account.He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account bal-ance by $20 a year. Under plan B, he will increase his account balance by 15% each year. How much more will he save with plan B after 10 years?

A $105 C $13B $46 D $1

8. Which is the average rate of change overthe interval [0, 2]?Equation A

X 0 1 2 3Y 0 1 4 9

Equation B

F A: 4, B: 1 H A: 2, B: 4G A: 2, B: 1 J A: 4, B: 3.5

9. Which is the y-intercept of theequations?Equation A

X 0 1 2 3Y 0 1 4 9

Equation B

A A: 0, B: 0 C A: 1, B: 0

B A: 5, B: 0 D A: 0, B: 5

Linear and Exponential FunctionsTest Form B continued

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10.Determine which kind of model best de-scribes this data set.{(2, 1), (1, 2), (0, 4), (1, 8), (2, 16)}

F linear H quadraticG exponential J none

11. Give the range of the relation.

_________________________________________

12. At a convenience store, bottles of water cost $1.20. The function f(x) 1.2x gives the cost of buying x bottles.Graph this function.

Give its domain and range.

domain: _________________________________

range: ___________________________________

13. What are the coordinates of the trans-formed point?(3, 4); horizontal shift 1 unit left__________________________________________

14. Which kind of model best describesthe graph?

Linear and Exponential FunctionsTest Form C

Select the best answer.

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1. Which function could represent the fol-lowing situation: “Tickets cost $8.50 each.”

A f(t) t 8.50 C f(t) 8.50t

B f(t) D f(t) 2. Evaluate the function f(x) 2x 8

when x 6.F 16 H 28G 20 J 96

3. Which is the dependent variable in the following situation?“Milk sells for $3.39 per gallon.”

A number of gallonsB total costC expiration dateD time of purchase

4. A car travels at 60 mi/h. The functionf(x) 60x gives the distance the car travels in x hours. What is the range of this function?

F y 0G {0, 1, 2, 3, ...}H {0, 60, 120, 180, ...}J all real numbers

5. The table shows the price of a video game for different years since the game was released. During which time inter-val did the price decrease at the great-est rate?

Year 2000 2002 2003 2005 2007

Price ($) 58 54 50 44 43

A 2000 to 2002 C 2003 to 2005B 2002 to 2003 D 2005 to 2007

6. The graph of a function passes through the points (4, 2) and (6, 8). What are the coordinates of these points after the function has been stretched horizontally by a factor of 2?

F (2, 2) and (3, 8)G (4, 4) and (6, 16)H (8, 2) and (12, 16)J (8, 2) and (12, 8)

7. Which of these describes the transfor-mation in terms of f(x)?Vertical stretch of 9 units

A C

B D

8. Which transformation describes the equation from its parent equation?

F horizontal shift left unit

G vertical shift up unitH vertical compression by a factor of

J vertical shift down unit

9. Which of the following data sets isbest described by a linear model?

A {(2, 4), (1, 9), (0, 16), (1, 25)}B {(2, 1), (1, 0), (0, 1), (1, 0)}C {(2, 12), (1, 10), (0, 8), (1, 6)}D {(2, 1), (1, 0), (0, 1), (1, 4)}

10. Which of the following models bestdescribes the data set?{(5, 2), (6, 0), (7, 2), (8, 8)}

F linear H exponential

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G quadratic J none Linear and Exponential Functions

Test Form C continued

11.A car slows down to avoid a hole in the road and then travels at a constant speed. Choose the graph that best repre-sents this situation.

__________________________________________

12. Give the domain of the relation.

__________________________________________

13. A recycling center pays 2 cents per alu-minum can and 5 cents per glass bottle. The equation 2x 5y 100 describes the number of cans x and bottles y that you need to earn $1.00. What is the value of each intercept, and what does each represent?

x-intercept: ________________________________________________________________________

y-intercept: ______________________________

14. This table shows the median age of women who were first married in different years. During which time interval did the age increase at the greatest rate? What was the rate of increase for that interval?

Year 1950 1980 1990 1995 2000

Age(yr) 20.3 22.0 23.9 24.5 25.1

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15. Let g(x) be a horizontal translation 2 units to the right, followed by a reflection over the y-axis of f(x) 3x 4. Write the rule for g(x).____________________________________________________________________________________

16. Which kind of model bestdescribes the data set?

X 1 2 3 4

Y 0.5 0.25 0 0.25__________________________________________

17. Emil has $2000 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he will increase his account bal-ance by $600 a year. Under plan B, he will increase his account balance by 25% each year. How much more will he save with Plan B after four years? Round your answer to the nearest whole.

_________________________________

18. What is the average rate of change overthe interval [1, 3]?Equation A

X 1 2 3 4

Y 5 25 125 625

Equation B

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Linear and Exponential FunctionsAnswers continued

Unit Test Form A1. B2. G3. B4. J5. A6. G7. A8. R: {2, 5, 6}9. yes; each domain value is paired with only one range value.

10. y 4x 111. 8, 1, 0, 1, 812. x13. g(x) 3x 214. quadratic15. linear16. quadratic

Unit Test Form B1. D2. H3. C4. H5. C6. J7. A8. G9. D

10. G11. 0 ≤ y ≤ 4

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12.

13. (2, 4)14. yes; each domain value is paired with only one range value.

Unit Test Form C1. C2. G3. B4. F5. B6. J7. A8. G9. C

10. G11. Graph A12. 1 ≤ x ≤ 413. x-intercept: 50; 50 cans and no bottles earns $1.00.

y-intercept: 20; no cans and 20 bottles earns $1.00.14. 1980 to 1990; 0.19 years per year15. g(x) 3x 1016. linear17. $48318. A: 60, B: 5

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Constructed Response:

A student invests money in a bond whose value after 𝒎 months is given by the func-tion . The student is saving money to buy a second bond. The amount saved toward the second bond is represented by the function (𝒎) = 𝟐𝟓𝟎 + 𝟏𝟎𝟎𝒎, where 𝒎 is the number of months the student has been saving. The interest is earned on the last day of the month, which is the same day the student sets aside the money, so m has only integer values. She began saving during the same month she in-vested in the first bond.

Part A: How much money did the student invest in the first bond?

Part B: What is the interest rate of the first bond?

Part C: How much money is the student saving each month toward buying the second bond?

Part D: If the student needs the same amount of money to invest in the second bond as she needed toinvest in the first bond, how many months will she need to save to invest in the second bond?

Part E: What will be the value of the first bond when the student has enough money to buy thesecond bond?

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

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Constructed Response:Scored Answer ExamplesPointsAwarded4 Points Part A: $2,000Part B: 0.5% per monthPart C: $100Part D: 18 monthsPart E: $2,187.86

3 PointsPart A: $2,000Part B: 5% per monthPart C: $100Part D: 18 monthsPart E: $2,187.86

2 PointsPart A: $2,000Part B: 5% per monthPart C: $100Part D: 20 monthsPart E: $2,000

1 PointPart A: $2,000Part B: 5%Part C: $100Part D: 20 monthsPart E: $4,000

0 PointsPart A: $250Part B: 1.005%Part C: 1.005%Part D: 5Part E: $2,000

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