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WorksheetsAlg1 Ch 2 Review Intro to Functions
Total questions: 100
Worksheet time: 6hrs 1mins
Name
Class
Date
1.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
2.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
3.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
4.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
5.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
6.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
7.
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.
8.
Which graph(s) show nonlinear functions?
a)
Graph I, only
b)
Graph II, only
c)
Graph I and Graph II, only.
d)
Graph I, Graph II, and Graph III
9.
Which table(s) represent nonlinear functions?
a)
Table 1, only.
b)
Table 2, only
c)
Tables 1 and 3, only
d)
Tables 2 and 3, only
10.
1) Which graph appears to contain all the ordered pairs in this table?
a)
b)
c)
d)
11.
Find the function rule for the function table.
a)
2/n
b)
n + 2
c)
2n
d)
n - 2
12.
Write the function rule for the following table.
a)
5x
b)
5x + 1
c)
x + 5
d)
x + 1
13.
Write a rule for the following function table
a)
7x
b)
5x
c)
x + 7
d)
x ÷ 7
14.
Write a rule for the following function.
a)
9x + 1
b)
x - 9
c)
9x
d)
x + 9
15.
A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?
a)
c = 12p + 3
b)
c = 12p
c)
c = 3p
d)
c = 12 + 3p
16.
Erika has a savings account that has $125. She starts saving $5 per week for a new iPhone. Write a function to represent the total amount Erika has in her savings account. How much money will she has after 10 weeks?
a)
f(x) = 125x + 5
b)
f(x) = 5x + 125
c)
f(x) = 125x - 5
d)
f(x) = 5x - 125
17.
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
18.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
19.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
20.
Find the value of y when x=3.
a)
1
b)
2
c)
4/3
d)
10
21.
Graph. y = 2/3x - 3
a)
a
b)
b
c)
c
d)
d
22.
If my function rule is 2x + 1, what is the OUTPUT if the input is 2?
a)
5
b)
4
c)
22
d)
23
23.
If my function rule is 4x, what is the OUTPUT if the input is 5?
a)
45
b)
54
c)
9
d)
20
24.
If my function rule is x + 3, what is the OUTPUT if the input is 4?
a)
4
b)
3
c)
7
d)
10
25.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
26.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
27.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
28.
Which letter is at (0, 3)?
a)
A
b)
M
c)
R
d)
L
29.
Which graph represents the table?
x | y
1 | 2
0 | 4
3 | -2
a)
a
b)
b
c)
c
d)
d
30.
Which is the graph of y = x - 2?
a)
A
b)
B
c)
C
d)
D
31.
When graphing a discrete function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph discrete functions
d)
There is no such thing as a discrete function
32.
In continuous functions, the x-values...
a)
Can be all numbers
b)
Can only be whole numbers
c)
Can only be decimals
33.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
34.
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.
35.
Function or Not a function?
a)
Function
b)
Not a Function
36.
Is this table a function or not a function?
a)
Function
b)
Not a Function
37.
Function or Non-Function?
a)
Function
b)
Non-Function
38.
Function or Non-Function?
a)
Function
b)
Non-Function
39.
Discrete or continuous?
a)
Discrete
b)
Continuous
40.
Discrete or continuous?
a)
Discrete
b)
Continuous
41.
Priya streams movies through a company that charges her a $1.50 per movie. What is the dependent variable?
a)
the number of movies she rents
b)
the company that she rents from
c)
the money it costs
d)
There isn't one
42.
The cost of a pizza at Cici's depends on how many toppings you add. What is the independent variable in this scenario??
a)
cost of a pizza
b)
number of toppings
c)
number of pizzas
43.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
44.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
45.
Which is correct?
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
46.
Which is correct?
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
47.
Adam earns $10 for each car he washes.
a)
Discrete
b)
Continuous
48.
A hairdresser at Fantastic Sam’s earns $12 per haircut.
a)
Discrete
b)
Continuous
49.
Soft drinks sold from a vending machine cost $1.75 per bottle.
a)
Discrete
b)
Continuous
50.
While driving to Florida, Sophia averaged 72 m.p.h.
a)
Discrete
b)
Continuous
51.
Graph of the growth of a plant for the next 30 days.
a)
Discrete
b)
Continuous
52.
The time it takes for a car battery to die.
a)
Discrete
b)
Continuous
53.
The number of suitcases lost by airlines.
a)
Discrete
b)
Continuous
54.
The number of orange Skittles in a bag.
a)
Discrete
b)
Continuous
55.
The time it takes for a light bulb to burn out.
a)
Discrete
b)
Continuous
56.
The number of miles it takes to use up a tank of gas.
a)
Discrete
b)
Continuous
57.
Evaluate f(-2) if f(x) = -1/2x + 3
a)
2
b)
-2
c)
4
d)
-1
58.
Given h(x) = -9x +5, find h(8).
a)
h(8) = -360
b)
h(8) = -67
59.
For the function f(x) = -3x + 3 find f(0).
a)
0
b)
-3
c)
3
d)
-1
60.
Does this mapping diagram represent a function?
a)
No
b)
Yes
61.
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.
62.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
63.
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}
64.
Which ordered pair below would prevent this table from being a function?
a)
(10, 10)
b)
(2, 4)
c)
(6, 1)
d)
(-2, 0)
65.
Select the green word.
a)
GREEN
b)
RED
c)
BLACK
d)
BLUE
66.
a)
The boat came to a stop after it traveled for 10 minutes.
b)
The boat was at rest from 20 to 40 minutes.
c)
The boat traveled the fastest in the last 20 minutes.
d)
The boat traveled the shortest distance in the first 20 minutes.
67.
What happened on this graph from 0 to 7 seconds?
a)
The helicopter moved up.
b)
The helicopter stayed at the launching pad.
c)
The helicopter moved down.
d)
You can't tell from this graph.
68.
Write an equation for this situation.
D = every day
C = total cost
D = every day
C = total cost
a)
D=$19.25C
b)
D=$19C
c)
C=$19.25D
d)
C=$19D
69.
A child climbs up a slide and then slides down.
a)
A
b)
B
c)
C
d)
D
70.
The sales record for a recent hit CD at Tony’s Music Store is shown on the graph. Which statement best describes the sales of this CD?
a)
Sales rapidly increased, reached a peak, and then gradually decreased.
b)
Sales gradually increased, reached a peak, and then leveled off.
c)
Sales rapidly increased, reached a peak, and then rapidly decreased
d)
Sales remained constant throughout the time period.
71.
What is happening in this graph from point B to C?
a)
The object is going down a hill.
b)
The object is returning to its starting location.
c)
The object is slowing down.
d)
The object is staying still.
72.
Jeff earns $10 per hours raking leaves. Write an equation to find the amount of money "y" he earns for "x" number of hours.
a)
y = 10x
b)
x = 10y
c)
y = x + 7
73.
A water tank holds 84 gallons. When it began to leak it lost 3 gallons every hour. Write an equation to find the amount of water "y" the tank will have after "x" number of hours.
a)
y = 84 - 3x
b)
y = 3 - 84x
74.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
75.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
76.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
77.
Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.
What will the height of the plant be after 20 days?
What will the height of the plant be after 20 days?
a)
25
b)
30
c)
35
d)
40
78.
Shawn has $3 more than twice as much money as Peter. If Shawn has $10, how much money does Peter have?
a)
$17.00
b)
$6.75
c)
$3.50
d)
$23.00
79.
Laura is 3 years older than twice Joseph's age. If Laura is 27 years old, how old is Joseph?
a)
12
b)
15
c)
24
d)
30
80.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
81.
a)
Function
b)
Not a Function
82.
a)
Function
b)
Not a Function
83.
Is this a function?
a)
Function
b)
Not a Function
84.
Is it a function?
a)
yes
b)
no
85.
Is it a function?
a)
yes
b)
no
86.
Is it a function?
a)
yes; each output has exactly one input.
b)
yes; each input has exactly one output.
c)
no; one input cannot have more/less than one output.
d)
no; one output cannot come from two input.
87.
Is it a function?
a)
yes; each output has exactly one input.
b)
yes; each input has exactly one output.
c)
no; one input cannot have more/less than one output.
d)
no; one output cannot come from two input.
88.
Is it a function?
a)
yes; each output has exactly one input.
b)
yes; each input has exactly one output.
c)
no; one input cannot have more/less than one output.
d)
no; one output cannot come from two input.
89.
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}
90.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
91.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
92.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
93.
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)
94.
Identify the range of the following relation:
a)
{-6, 14, 2, 28}
b)
{-6,14, 0, 32, 2, 38, 4,44}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
95.
a)
{-2, 3, 7}
b)
{-2, 3}
c)
{1, 2, 2, 3, 4}
d)
{1, 4}
96.
a)
{-7, -5, 2, 3, 7}
b)
{-7, 7}
c)
{1, 2, 3, 4, 5}
d)
{1, 5}
97.
a)
Function
b)
Not a Function
98.
a)
Function
b)
Not a Function
99.
What day is it?
a)
Halloween
b)
Wednesday
c)
Hump Day
d)
October 30
100.
What monsters are good at math?
a)
None, unless you Count Dracula
b)
None
c)
All of them
d)
What is math?
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