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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
Graph 1 Graph 4Graph 3Graph 2
Choose the graph that best represents the situation
# 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
Graph 1 Graph 4Graph 3Graph 2
Choose the graph that best represents the situation
# 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
Graph 1 Graph 4Graph 3Graph 2
Choose the graph that best represents the situation
# 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
Give the domain and range of each relation and tell whether it is a function.
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
Give the domain and range of each relation and tell whether it is a function.
D: 1, 2, 3, 4
Function? YES
R: 50, 100, 150
{ (1, 50), (2, 50), (3, 100), (4, 150) }
# 21
Give the domain and range of each relation and tell whether it is a function.
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
Give the domain and range of each relation and tell whether it is a function.
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
Give the domain and range of each relation and tell whether it is a function.
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