Unit 4 Review1. Give the domain and range of the relation.

x y

4 9

6 13

0 0

–5 –9 }9 0, 13, {9,:R

}5 0, 6, {4,:D

Unit 4 Review2. Give the domain and range of the relation.

2 4 6 x

2

4

6

y

}71{:R

}61{:D

y

x

Unit 4 Review3. Give the domain and range of the relation.

5}{:R

}43{:D

y

x2 4 6–2 x

2

–2

–4

–6

y

Unit 4 Review

x y

0 –5

1 –1

1 3

1 6

4. Give the domain and range of the relation. Tell whether the relation is a function.

}6 3, 1, ,5{:R

}1 {0,:D

function. anot isrelation The

Unit 4 Review5. Give the domain and range of the relation. Tell whether the relation is a function.

function. anot isrelation The

1 2 3 4 5–1–2–3–4–5 x

1

2

3

4

5

–1

–2

–3

–4

–5

y

}22{:R

}33{:D

y

x

Unit 4 Review6. Identify the independent and dependent variables in the situation. The amount of electricity used for air conditioning in homes increases as the temperature increases.

Independent: temperature; Dependent: amount of electricity used

Unit 4 Review7. Identify the independent and dependent variables in the situation. Then, write a rule in function notation for the situation. A video club costs $25 to join. Each video that is rented costs $2.50. Let v represent the number of videos.

Independent: # of videos; Dependent: cost

vvC 5.225

Unit 4 Review 8. For 4 2, find when 1.f x x f x x

61 4 1 2f

Unit 4 Review 9. Use the graph of the function 2 2 to find

the value of when 2.

f x x

y x

x y

2

0

2

2

2

6

x

y

2,6

2 6f

Unit 4 Review10. Data was collected on the average winter temperature and the number of days with snow of a random group of cities in the United States. Identify the correlation you would expect to see between the average winter temperature and the number of days with snow.

a constant correlation c positive correlation

b no correlation d negative correlation

temperature

# of days of snow

Unit 4 Review11. Choose the scatter plot that best represents the relationship between the number of students who passed the final exam and the number of students who failed the class. Explain your answer.

Students who passed the final

Stu

dent

s w

ho f

aile

d th

e cl

ass

4 8 12 16 20 24 28 32 36 40

4

8

12

16

20

24

28

32

36

40

Students who passed the final

Stu

dent

s w

ho f

aile

d th

e cl

ass

4 8 12 16 20 24 28 32 36 40

4

8

12

16

20

24

28

32

36

40

Students who passed the final

Stu

dent

s w

ho f

aile

d th

e cl

ass

4 8 12 16 20 24 28 32 36 40

4

8

12

16

20

24

28

32

36

40

Students who passed the final

Stu

dent

s w

ho f

aile

d th

e cl

ass

4 8 12 16 20 24 28 32 36 40

4

8

12

16

20

24

28

32

36

40

Unit 4 Review12. The scatter plot shows the relationship between the weekly total sales ($) and the number of different rug designs a rug store has. Based on this relationship, predict what the total sales will be when the store has 110 different rug designs.

Tot

al S

ales

($)

Number of Designs20 40 60 80 100 120 140 160

10000

20000

30000

40000

50000

$35,000.00

Unit 4 Review13. Which situation best describes a positive correlation?

a The amount of gasoline in a car and how far the car has traveled

b The temperature on Tuesdays

c The size of a sundae and the amount of calories it contains

d The size of a snowball and how long it has been melting

Unit 4 Review14. Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.

–5, –11, –17, –23, –29, . . .

Arithmetic 6

35, 41, 47

d

Unit 4 Review15. Find the 20th term in the arithmetic sequence –4, 1, 6, 11, 16,...

1

20

Arithmetic 5

1

4 20 911 5 4 19 5

n

d

t t n d

t

Unit 4 Review16. Sylvie is going on vacation. She has already driven 60 miles in one hour. Her average speed for the rest of the trip is 57 miles per hour. How far will Sylvie have driven in 7 hours?

60 57 1d x x

7 60 57 7 1

60 57 6 402 miles

d

Unit 4 Review17. Determine a relationship between the x- and y-values. Write an equation.

x 1 2 3 4

y 4 5 6 7

3y x

Unit 4 Review18. Express the relation for the math test scoring system {(1, 2), (2, 3), (3, 5), (4, 10), (5, 5)} as a table, as a graph and as a mapping diagram.

x

yx y

x yTable

1 22 33 54 105 5

1 22 3

3 5

4 10

5

11

2y x

Unit 4 Review

19. Graph for the domain D: {–8, –4, 0, 4, 8}.

x

y

2x 2x4 2 4y x 4 4 4

x yTable

8 34 10 14 38 5

Unit 4 Review

20. Graph the function .

x

y

x yTable

5 110 15 9

Unit 4 Review21. The function describes how far from home Shu Ling is as she drives from Dallas to Miami. Graph the function. Use the graph to estimate how far from home Shu Ling is in 12 hours.

x

y

x yTable

00200540010 2

50

12 480f

Unit 4 Review22. The temperature of air in a room that began at F is increasing by F per hour. Write a function that describes the temperature of the air over time. Graph the function to show the temperatures over the first 10 hours.

h

f h

h f(h)

Table

550955

1351020

55 8f h h 1

Unit 4 Review23. Lionel observes that traffic is getting worse and it’s taking him longer to get to work. He records once a week the following data for several weeks. Graph a scatter plot using the given data.

x

y

Week 1 2 3 4 5 6 7 8

Time (min)

8.2 8.9 8.6 8.3 9 9.7 8.4 10.1

Unit 4 Review24. Graph a scatter plot using the given data. What kind of correlation does the graph show?

x

y

x 3 6 5 2 7 4 8 1

y 4.5 6.5 6.5 3.5 6.5 4.5 8 4

Positive Correlation!