Test01

TEST1

A giraffe is born 6 feet tall and continues to grow at a steady rate until it is fully grown.

Time

Hei

ght Is the graph

discrete or continuous?

# 1

The price of a used car is discounted $200 each week

Weeks

Pri

ce

Is the graph discrete or continuous?

· · · · · · ·

# 2

A city planner buys more buses as the population of her city grows.

Population

Num

ber

of

Bus

es

Is the graph discrete or continuous?·

· · ·

# 3

Joseph is sky-diving. At first, he is free-falling rapidly and then he releases his parachute to slow his descent until he reaches the ground

Is the graph discrete or continuous?

Time

Hei

ght A

bove

G

roun

d

# 4

Rebekah turns on the oven and sets it to 300ºF. She bakes a tray of cookies and then turns the oven off.

Time

Tem

per

atu

re

Time

Tem

per

atu

re

TimeT

emp

erat

ure

Time

Tem

per

atu

re

Graph 1 Graph 4Graph 3Graph 2

Choose the graph that best represents the situation

# 5

Leon puts ice cubes in his soup to cool down before eating it.

Time

Tem

per

atu

re

Time

Tem

per

atu

re

TimeT

emp

erat

ure

Time

Tem

per

atu

re



# 6

Barlee has the flu and her temperature rises slowly until it reaches 101ºF

Time

Tem

per

atu

re

Time

Tem

per

atu

re

TimeT

emp

erat

ure

Time

Tem

per

atu

re



# 7

On a hot day, Karin walks into and out of an air-conditioned building

Time

Tem

per

atu

re

Time

Tem

per

atu

re

TimeT

emp

erat

ure

Time

Tem

per

atu

re



# 8

Which relation is a function?

4-1-53

-237

4-1-53

-237

4-1-53

-237

4-1-5

-237

# 9

A C

B D

Cost of buying 1,2, or 3 packs of trading cards

Which situation should NOT be represented by a graph with distinct points?

Number of visitors to a movie theater per day for one week

Distance traveled by a rollercoaster car during 20 seconds

Amount of money earned based on the number of magazines sold

F.

G.

H.

J.

# 10

SKIP 11

{(3,2), (5,2), (7,4)}

Which relation is represented by the mapping diagram below?

{(2,3), (4,7)}

{(5,2), (7,4)}{(2,3), (2,5), (4,7)}

A.

B.

C.D.

2

4

3

5

7

# 12

A runner in a race ran quickly for the first few minutes, slowed down some and ran a steady pace for most of the race, and then ran as fast as he could at the very end.

Time

Spe

ed

Choose the graph that best represents this situation.

Time

Spe

ed

Graph A Graph B

# 13

Give the range of the relation

4

3

2

1

-5 -4 -3 -2 -1 0 1 2 3 4

-1

-2

-3

-4

x

y

R: 0 ≤ y ≤ 4

# 14

Dog food is sold in 7 pound bags. Sketch a graph to show the weight of dog food purchased by a customer who buys 0, 1, 2, 3, or 4 bags.

Wei

ght P

urch

ased

Tell whether the graph is continuous or discrete

3

6

9

12

15

18

21

24

27

30

Number of Bags1 2 3 4 5

Buying Dog Food

·

·

·

·

·

# 15

Give the domain of the relation

D: -1, -0.5, 0, 0.5

x -1 -0.5 0 0.5

y 2 2 5 6

# 16

Express the relation {(-2, 3), (2, 4), (-3, 4)} as mapping

-2

2

-3

3

4

# 17

Tell whether the relation is a function. Explain

Function? Yes

Explain: Because none of value x is repeated

{ (4,-1), (3,-2), (2,1), (1,-2) }

# 18

Give the domain and range of each relation and tell whether it is a function.

D: 6, 7, 86

7

8

1

2

Function? NO

R: 1, 2

# 19


D: 6, 9, 12, 15, 18

Function? YES

R: 8, 10, 10.5, 11

Age

x

Shoe Size

y

6 8

9 10

12 10

15 10.5

18 11

# 20


D: 1, 2, 3, 4

Function? YES

R: 50, 100, 150

{ (1, 50), (2, 50), (3, 100), (4, 150) }

# 21


D: 1, 2, 3, 4, 5

Function? YES

R: 4.5, 7, 9.5, 12, 14.5

A 2-inch-tall plant grows at a rate of 2.5 inches every week for 5 weeks. Let x represent the number of weeks and y represent the height of the plant.

Weeks

x

Heights

y

1 2 + 2.5 = 4.5

2 4.5 + 2.5 = 7

3 7 + 2.5 = 9.5

4 9.5 + 2.5 = 12

5 12 + 2.5 = 14.5

# 22


4

3

2

1

-5 -4 -3 -2 -1 0 1 2 3 4

-1

-2

-3

-4

x

y

D: -4 ≤ x ≤ 4

Domain

Ran

ge

R: -3 ≤ y ≤ 4

Function? NO

# 23


4

3

2

1

-5 -4 -3 -2 -1 0 1 2 3 4

-1

-2

-3

-4

x

y

D: -4 ≤ x ≤ 4

Domain

Ran

ge

R: -2 ≤ y ≤ 4

Function? NO

# 24

A car slows down to avoid a hole in the road and then travels at a constant speed.

Time

Spe

ed

Choose the graph that best represents this situation.

Time

Spe

ed

Graph A Graph B

# 25

Give the domain of the relation

4

3

2

1

-5 -4 -3 -2 -1 0 1 2 3 4

-1

-2

-3

-4

x

y

D: -1 ≤ x ≤ 4

Domain

# 26

A school secretary is buying pencils. The pencils come in boxes of 10. Sketch a graph to show the number of pencils the secretary could buy 1, 2, 3, 4 boxes.

Num

ber

of P

enci

ls

Tell whether the graph is continuous or discrete

5

10

15

20

25

30

35

40

45

50

Number of Boxes1 2 3 4 5

Pencil Purchase

·

·

·

·

# 27

Give the range of the relation

R: 2, 5, 6

x 1 2 3 4

Y 2 2 5 6

# 28

Express the relation {(2, 3), (2, 4), (5, 9)} as mapping

2

5

3

4

9

# 29

Tell whether it is a function. Explain

Function? YES

Explain: None of value x is repeated

{ (-4, -1), (-3, 0), (-2, 1), (-1, 2) }

# 30

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