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Topic 3 Review

Total questions: 78

Worksheet time: 7hrs 30mins

Name
Class
Date
1.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

2.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
3.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
4.
a)
Function
b)
Not a Function
5.
a)
Function
b)
Not a Function
6.
.
a)
Function
b)
Not a Function
7.
.
a)
Function
b)
Not a Function
8.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
9.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
10.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
11.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
12.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
13.
a)
Function
b)
Not a Function
14.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
15.
Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}
a)
Yes
b)
No
16.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
17.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
18.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
19.

Is this a function?

a)

Yes, it is a function.

b)

No, it is not a function.

20.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

21.
Who has the greater rate of change?
a)
CJ has a greater rate of change with 13/2
b)
Holland has a greater rate of change with 6
c)
CJ has a greater rate of change with 2/13
d)
They have the same rate of change.
22.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
23.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
24.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
25.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
26.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
27.
Compare the rates of change. Which statement is true about functions A and B?
a)
They have the same rate of change
b)
A has a greater rate of change than B
c)
A and B both have negative rates of change
d)
A has a negative ROC and B has a positive ROC
28.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
29.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
30.
 Which runs faster: a cheetah that can run 60 feet in 4 seconds or gazelle that can run 100 feet in 8 seconds?
a)
A cheetah at a unit rate of 14 ft per sec
b)
A gazelle at a unit rate of 12 ft per sec
c)
A cheetah at a unit rate of 15 ft per sec
d)
A gazelle at 12.5 ft per sec
31.

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

a)

$15 per hour

b)

$2.25 per hour

c)

$17.25 per hour

d)

$1 per hour

32.

At what rate did the rain fall?

a)

2 cm per hour

b)

1/4 cm per hour

c)

1/2 cm per hour

d)

4 cm per hour

33.

Determine if the function is linear or nonlinear.

a)

linear

b)

nonlinear

34.

Determine if the graph is linear or nonlinear.

a)

linear

b)

nonlinear

35.

Determine if the function is linear or nonlinear.

a)

linear

b)

nonlinear

36.

Does the data represent a function that is linear or nonlinear?

a)

linear

b)

nonlinear

37.

Choose the function that is linear.

a)

y = x2

b)

f(x) = x3 + 5

c)

y = 3x + 4

d)

y = 7x-2 + x + 14

38.

Choose the function that is nonlinear.

a)

y = 2x3 - x2 + 5

b)

y = 5x - 19

c)

14x - 8 = 2y

d)

3y = 6x + 15

39.
Why is this function linear?
a)
This is a linear function because the y-intercept is (0,2)
b)
This is a linear function because it forms a curved line.
c)
This is a linear function because is does not have a constant rate of change.
d)
This is a linear function because is has a constant rate of change.
40.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

41.
Is this function linear or nonlinear?
a)
Linear function
b)
Nonlinear function
42.
Which answer choice is true?
a)
The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
b)
The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
c)
The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
d)
The table does not represent a function because there is more than one output for at least one input.
43.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
44.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
45.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
46.

Find the slope from the table.

a)

-4/1 or -4

b)

1/1 or 1

c)

4/1 or 4

d)

-2/1 or -2

47.

What is the slope?

a)

-3/1 or -3

b)

-1/3

c)

-10/1 or -10

d)

-4/1 or -4

48.
Which equation represents the situation described: Jim charges $150 plus $60 per hour to move furniture.
a)
y = 60x + 150
b)
y = 150x + 60
c)
y = 60x
d)
y = 2.5x + 150
49.
Which equation represents the situation described: A building supply company sells gravel for a fixed delivery fee of $50 for the order plus $75 per cubic yard.
a)
y = 50x + 75
b)
y = 1.5x + 75
c)
y = 75x + 50
d)
y = 1.5x
50.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

51.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
52.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
53.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
54.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
55.

Find the slope of the line that passes through the points (2, 4) and (6, 12).

a)

1/2

b)

-1/2

c)

2/1

d)

-2/1

56.

What is the slope of the line passing through the following points (-2,5) & (1,-7)?

a)

-4 or -12/3

b)

-2 or -2/1

c)

2 or 2/1

d)

4 or 12/3

57.
What is the slope of the line passing through the following points (1,3) & (5, 0)?
a)
-4/3
b)
-3/4
c)
3/4
d)
4/3
58.

What is the slope of the line with the equation y = 4x + 12

a)

4

b)

1/4

c)

4x

d)

12

59.

What is the slope of the graph?

a)

1/2

b)

50/2 or 25

c)

50

d)

0

60.

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

a)

The amount of money rolled over from savings

b)

Her total savings

c)

The number of months

d)

The money that comes over each month

61.

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. What does the slope represent?

a)

The total amount of money the customer spends on music each month

b)

The number of songs the customer downloads each month

c)

The number of customers that use the music service

d)

The cost of downloading one song

62.
This graph is about a car. Describe the speed of the car along A?
a)
Parked
b)
Moving at a constant speed
c)
Speed is increasing
d)
Speed is decreasing
63.
This graph is about a car. Describe the speed of the car along C?
a)
Parked
b)
Moving at a constant speed
c)
Speed is increasing
d)
Speed is decreasing
64.
This graph is about a boat. Which best describes the speed of the boat along D?
a)
Docked
b)
Accelerating
c)
Decelerating
d)
Going up a ramp
65.
This graph is about a boat. Which letter(s) represent the boat at the dock?
a)
A & E
b)
C
c)
A, C, & E
d)
D
66.
This graph represents Matthew taking his dogs out for a walk.  Along which section of the graph is Matthew moving the fastest? 
a)
A
b)
B
c)
D
d)
E
67.
Brad Pitt is going for a jog.  Which best describes his speed at section D?
a)
Jogging at a constant speed
b)
Jogging at the highest altitude 
c)
Taking a break
d)
decreasing his speed
68.
Taylor Swift is riding her bike to the store. Which best describes her trip along section E?
a)
Stopping
b)
Heading to the store
c)
Heading home
d)
At the store
69.
Justin Beiber is cruising to his studio to pick up a microphone. Which best describes his speed along C?
a)
Stopped
b)
Heading towards the studio
c)
Heading back home 
d)
Hanging at the studio
70.
Atticus Shaffer is hiking on a mountain.  The graph shows his decent from the peak of the mountain. Which best describes his actions along B?
a)
Climbing down the mountain
b)
Climbing up the mountain
c)
Stopped for bird watching
d)
Base Jumping
71.
Mohammed is walking to his friends house.  Along which section of the graph is he moving the slowest (not stopped)?
a)
A
b)
C
c)
E
d)
Can not tell from this graph
72.
a)
F
b)
G
c)
H
d)
J
73.
a)
F
b)
G
c)
H
d)
J
74.
a)
F
b)
H
c)
G
d)
I
75.
a)
Graph A
b)
Graph B
76.
a)
F
b)
G
c)
H
d)
I
77.
a)
A
b)
B
c)
C
d)
D
78.
a)
A
b)
B
c)
C
d)
D

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