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Worksheets5/17 - M8 - Functions and Relations Review
Total questions: 156
Worksheet time: 6hrs 54mins
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.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
4.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
5.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
6.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
7.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
8.
a)
Function
b)
Not a Function
9.
Is this a function?
a)
Yes
b)
No
10.
Does the following represent a function?
a)
Yes
b)
No
11.
Does the following represent a function?
a)
Yes
b)
No
12.
a)
Function
b)
Not a Function
13.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
14.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
15.
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.
16.
a)
Function
b)
Not a Function
17.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
18.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
19.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
20.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
21.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
22.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
23.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
24.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
25.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
26.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
27.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
28.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a function
29.
.
a)
Function
b)
Not a Function
30.
.
a)
Function
b)
Not a Function
31.
Is this table a function or not a function?
a)
Function
b)
Not a Function
32.
Is this table a function or not a function?
a)
Function
b)
Not a Function
33.
.
a)
Function
b)
Not a Function
34.
.
a)
Function
b)
Not a Function
35.
Which of the relations below is a function?
a)
{(2, 3), (3, 4), (5, 1), (2, 4)}
b)
{(2, 3), (3, 4), (6, 2), (7, 3)}
c)
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
36.
Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function?
a)
7
b)
9
c)
4
37.
The following relation is a function.
{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)}
a)
True
b)
False
38.
The graph of a relation is shown at the right. Is this relation a function?
a)
Yes
b)
No
c)
Cannot be determined from a graph
39.
The graph of a relation is shown below. Is the relation a function?
a)
Yes
b)
No
c)
Cannot be determined from a graph
40.
The graph of a relation is shown below. Is the relation a function?
a)
Yes
b)
No
c)
Cannot be determined from a graph
41.
Which graph represents a function?
a)
b)
c)
d)
42.
a)
Function
b)
Not a Function
43.
Is this table a function or not a function?
a)
Function
b)
Not a Function
44.
Is this table a function or not a function?
a)
Function
b)
Not a Function
45.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
46.
Is this a function?
a)
Yes
b)
No
47.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
d)
D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}
R:{0, 1, 2, 3, 4}
48.
Which among the following is a function?
a)
b)
c)
d)
All of the above
49.
(a) is a set of an ordered pairs.
50.
Does this table represent a function?
a)
Function
b)
Not a Function
51.
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.
52.
What variable represents the domain?
a)
x
b)
y
c)
d
d)
r
53.
What variable represents the range?
a)
x
b)
y
c)
d
d)
r
54.
What is the domain of this Linear function?
a)
{0 ,1 , 2, 15}
b)
{0, 1, 2, 3}
c)
{3, 7, 11, 15}
d)
{3, 7, 11, 3}
55.
What is the range of this Linear function?
a)
{0 ,1 , 2, 15}
b)
{0, 1, 2, 3}
c)
{3, 7, 11, 15}
d)
{3, 7, 11, 3}
56.
What is the domain of this mapping?
a)
{5, 10, 15}
b)
{(5,2),(5,4),(10,6),(15,8)}
c)
{2, 4, 6, 8}
57.
What is the range of this mapping?
a)
{5, 10, 15}
b)
{(5,2),(5,4),(10,6),(15,8)}
c)
{2, 4, 6, 8}
d)
{5, 5, 10 ,15}
58.
What is the range of the ordered pairs graphed above?
a)
{1, 2, 3 ,4 ,5 ,6}
b)
{0, 1, 2, 3, 4, 5, 6}
c)
{2, 4, 8}
d)
{-1, 0, 1, 2, 3, 6}
59.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
60.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
61.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
62.
Given f(x) = x2 - 7x
Find f(8).
Find f(8).
a)
f(8) = 8
b)
f(8) = -3584
63.
Given h(x) = 5 - 9x
Find h(8).
Find h(8).
a)
h(8) = -360
b)
h(8) = -67
64.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
65.
f(x) = 3x - 7
f(-1) =
f(-1) =
a)
-4
b)
-10
c)
10
d)
4
66.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
67.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
68.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
69.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
70.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
71.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
72.
Solve for x:
2x - 18 = 6
2x - 18 = 6
a)
x = 6
b)
x = -15
c)
x = 12
d)
x = -6
73.
Solve for x:
3 - 4x = 9
3 - 4x = 9
a)
x = 3/2
b)
x = -3/2
c)
x = 5
d)
x = 9
74.
x + 7 = 13
a)
x = 20
b)
x = -6
c)
x = -20
d)
x = 6
75.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
76.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
77.
simplify the expression
36a + 12 -6a -7
36a + 12 -6a -7
a)
5a + 30
b)
30a +5
c)
42a -5
d)
42a + 19
78.
4y - 11 = 33
a)
y = 5.5
b)
y = 11
c)
y = 2
d)
y = 44
79.
Evaluate f(2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
80.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
81.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
82.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
83.
Which function is nonlinear?
a)
y = 2(x + 4) − 5
b)
2y = x
c)
y = 1.5x + 3.02
d)
y = x(2 + x)
84.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
85.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
86.
a)
Function
b)
Not a Function
87.
a)
Function
b)
Not a Function
88.
a)
Function
b)
Not a Function
89.
a)
Function
b)
Not a Function
90.
a)
Function
b)
Not a Function
91.
a)
Function
b)
Not a Function
92.
a)
Function
b)
Not a Function
93.
a)
Function
b)
Not a Function
94.
a)
Function
b)
Not a Function
95.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
96.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
97.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
98.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
99.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
100.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?
4 lines
101.
Which company shows a greater rate of change?
4 lines
102.
Which panda will weigh more at 5 weeks?
4 lines
103.
Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?
4 lines
104.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y = 3x + 10
What does the y-intercept (b) of the graph of this equation represent?
4 lines
105.
Mike is buying a large pizza. The pizza costs $8.00 plus $0.50 for each additional topping. Which function correctly models this situtation?
a)
y=8x+.50
b)
y=.50x+8
c)
y=8x-.50
d)
y=8.50x
106.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
107.
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
108.
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
109.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
110.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
111.
Which panda is growing faster?
a)
Mochi
b)
Kappa
112.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
113.
Which tree was the tallest when it was first planted?
a)
Tree A
b)
Tree B
c)
Tree C
114.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
115.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
116.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
117.
Which function is nonlinear?
a)
y = 2(x + 4) − 5
b)
2y = x
c)
y = 1.5x + 3.02
d)
y = x(2 + x)
118.
Which graph depicts a nonlinear function?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
119.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
120.
What does the slope represent in this situation?
a)
The sloth runs 1 feet in 3 minutes
b)
The sloth runs 3 feet in 1 minute
c)
The sloth runs fast
d)
The sloth runs 6 feet in 1 minute
121.
What does the slope represent in this graph?
a)
5 students got off the bus every minute.
b)
10 students got off the bus every minute.
c)
2 students got off the bus every minute.
d)
60 students got off the bus every minute.
122.
What is the equation of the line that passes through these points?
a)
y = 3x + 2
b)
y = 2x + 3
c)
y = -2x + 3
d)
y = 2x - 3
123.
What is slope intercept form?
a)
y = kx
b)
y - y1 = m (x - x1)
c)
y = mx + b
d)
Ax + By = C
124.
When graphing slope we....
a)
Run / Rise
b)
Rise / Run
c)
(rise, run)
d)
Run far away.
125.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
126.
Find the slope of the line.
a)
4/3
b)
-4/3
c)
3/4
d)
-3/4
127.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
128.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
129.
What is used to determine if a relation is a function?
a)
3D Line Test
b)
Diagonal Line Test
c)
Horizontal Line Test
d)
Vertical Line Test
130.
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
131.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
132.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
133.
A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost. Is it a function?
a)
y = 1.50x + 5
Function
Function
b)
y = 5x + 1.50
Function
Function
c)
y = 1.50x + 5
Not a Function
Not a Function
d)
y = 5x + 1.50
Not a Function
Not a Function
134.
Evaluate each function for the given inputs.
For f(x) = -2x + 4,
find f(x) when x = -5
For f(x) = -2x + 4,
find f(x) when x = -5
a)
f(-5) = -6
b)
f(-5) = -3
c)
f(-5) = 14
d)
f(-5) = 2
135.
You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule represents your business model?
a)
y=13x - 7.5
b)
y=13x + 7.5
c)
y=20.5x
d)
y=7.5x + 13
136.
Evaluate the function for the given value:
a)
-16
b)
-4
c)
-20
d)
12
137.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
138.
a)
Function
b)
Not a Function
139.
a)
Function
b)
Not a Function
140.
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
141.
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
142.
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
143.
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
144.
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
145.
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
146.
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
147.
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
148.
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
149.
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
150.
a)
F
b)
G
c)
H
d)
J
151.
a)
F
b)
G
c)
H
d)
J
152.
a)
F
b)
H
c)
G
d)
I
153.
a)
Graph A
b)
Graph B
154.
a)
F
b)
G
c)
H
d)
I
155.
a)
A
b)
B
c)
C
d)
D
156.
a)
A
b)
B
c)
C
d)
D
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