NEW
Font size
S
M
L
XL
WorksheetsDomain and Range
Total questions: 60
Worksheet time: 3hrs 11mins
Name
Class
Date
1.
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}
2.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
3.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
4.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
5.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
6.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
7.
What is the range of the function shown?
a)
{10, 19, 26}
b)
{-3, 0, 4}
c)
{-3, 0, 4, 10, 19, 26}
d)
{0, 16}
8.
What is the range of the function f(x)= x2 + 2 when the domain
is {-1, 0 , 1}?
is {-1, 0 , 1}?
a)
{1, 2, 3}
b)
{2, 3}
c)
{0, 2, 4}
d)
{1, 3}
9.
What is the domain of the function graphed?
a)
x < 5
b)
x ≥ 1
c)
x > 0
d)
All real numbers
10.
Which of the inequalities below best describes the domain of the function shown on the graph?
a)
-2 ≤ x ≤ 2
b)
-5 ≤ x ≤ -3
c)
-2 ≤ x ≤ 3
d)
-5 ≤ x ≤ 3
11.
Given the function f(x) = 4x2 - 5, what is the range?
a)
All real numbers greater than or equal to -5
b)
All real numbers
c)
All real numbers greater than or equal to 5
d)
All real numbers less than or equal to -5
12.
A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?
a)
0≤ x ≤ 7
b)
0≤ x ≤ 8
c)
0≤ y ≤ 7
d)
0≤ y ≤ 8
13.
The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?
a)
{-7, -1, -8}
b)
{-3, 6}
c)
{-3, 3, 6}
d)
All real numbers
14.
What is the range of the function graphed?
a)
-3 < x ≤ 6
b)
-3 < y ≤ 6
c)
2 < y ≤ 6
d)
2 < x ≤ 6
15.
What is the range of the function graphed?
a)
-3 < x ≤ 6
b)
-3 < y ≤ 6
c)
2 < y ≤ 6
d)
2 < x ≤ 6
16.
Before a bowler rolls her first ball, 10 pins are standing. The number of pins that will be left standing, y, is a function of the number of pins she knocks down. What is the range of the function?
a)
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
c)
y ≤ 10
d)
0 ≤ y ≤ 10
17.
What is the domain of the graph?
a)
{-4, 0, 2, 4}
b)
{-5, -4, -3, -1}
c)
{-5, -4, -3, -1, 0, 2, 4}
d)
All real numbers
18.
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}
19.
What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.
*Hint: Domain is the set of all x-values included in the function.
a)
x≥3
b)
x≤3
c)
All real numbers
d)
-1≤x≤5
20.
What is the range of the function?
*Hint: Range is all of the y-values included in the function.
*Hint: Range is all of the y-values included in the function.
a)
y≤3
b)
y≥3
c)
All real numbers
d)
-6≤y≤3
21.
What is the range?
a)
y≥-3
b)
y≥-1
c)
All real numbers
d)
y≤-1
22.
What is the domain of the function?
a)
D:{ x is greater than or equal to 3}
b)
D:{x is less than or equal to 3}
c)
D:{all real numbers}
d)
D:{ x is all real numbers between and including -1 and 5}
23.
What is the range of the function?
a)
R:{y is less than or equal to 3}
b)
R:{y is greater than or equal to 3}
c)
R:{all real numbers}
d)
R:{y is between and including -6 and 3}
24.
John hits a fly ball into the air. The ball reaches a maximum height of 200 ft after 4 seconds. What is a reasonable domain of the fly ball?
a)
All real numbers between 0 feet and 200 feet
b)
All real numbers between 0 feet and 400 feet
c)
All real numbers between 0 seconds and 4 seconds
d)
All real numbers between 0 seconds and 8 seconds
25.
What is the domain of the function shown below?
a)
-2 < x < 5
b)
0 < x < 12
c)
y > 0
d)
All Real Numbers
26.
What is the domain?
a)
(-∞, ∞)
b)
(0, ∞)
c)
(-∞, 0)
d)
[0, ∞)
27.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
28.
What is the range of the function shown below?
a)
0 < y < 12
b)
-2 < y < 5
c)
y > 0
d)
All Real Numbers
29.
Is the pictured graph growth, decay, or linear or quadratic?
a)
Growth
b)
Decay
c)
Linear
d)
Quadratic
30.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
31.
Given y= 4 (2)x
determine the y-intercept
determine the y-intercept
a)
(0, 2)
b)
(0, 4)
32.
Which represents exponential decay?
a)
A
b)
B
c)
C
d)
D
33.
What is the equation of the horizontal asymptote?
a)
y = 1
b)
y = 0
34.
Which is NOT true?
a)
A
b)
B
c)
C
d)
D
35.
You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?
a)
$11625
b)
$6994.77
c)
$21,477
d)
$875
36.
The population of turtles is doubling every 3 months. If there are 400 turtles now, how many will there be in 2 years? (Choose equation)
a)
y = 400(2)2
b)
y = 400(2)6
c)
y = 400(2)8
d)
y = 400 + 2(8)
37.
Is this exponential growth or decay?
a)
Growth, because of 7
b)
Decay, because of 1.2
c)
Growth because of 1.2
d)
Decay because of 7
38.
Pick the equation that is exponential decay
a)
y=2000(0.88)
b)
y=0.5(1.88)
c)
y=-4x
d)
y= -7+10x
39.
A 78 gram sample of Uranium loses half of its mass each year. What is the exponential equation?
a)
y=78(0.5)x
b)
y=78(1.5)x
c)
y=78(2)x
40.
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}
41.
a)
{-7, -5, 2, 3, 7}
b)
{-7, 7}
c)
{1, 2, 3, 4, 5}
d)
{1, 5}
42.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
43.
a)
{0,1, 2, 3, 4, 5, 6, 7, 8 }
b)
x ≤ 8
c)
0 ≤ x ≤ 8
d)
x ≥ 0
44.
a)
x ≥ 0
b)
x ≤ 7
c)
0 ≤ x ≤ 7
d)
{ 0,1, 2, 3, 4, 5, 6, 7 }
45.
a)
y ≥ 0
b)
{ 1, 2, 3, 4 }
c)
{0, 1, 2, 3, 4 }
d)
0 ≤ y ≤ 3
46.
a)
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
b)
{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
c)
y ≤ 10
d)
0 ≤ y ≤ 10
47.
What is the range of the following graph?
a)
-5, -1, 0 , 1, 5
b)
-4, -2, 0, 3, 6
c)
(-4, 1) ( 6, 0)
d)
(6, 0)
48.
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}
49.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
50.
a)
{-7, -5, 2, 3, 7}
b)
{-7, 7}
c)
{1, 2, 3, 4, 5}
d)
{1, 5}
51.
a)
{-2, 3, 7}
b)
{-2, 3}
c)
{1, 2, 2, 3, 4}
d)
{1, 4}
52.
a)
F
b)
G
c)
H
d)
J
53.
a)
A
b)
B
c)
C
d)
D
54.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
55.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
56.
What is the y -intercept on this graph?
a)
(0,6)
b)
(5,0)
c)
(0,5)
d)
(0,0)
57.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
58.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
59.
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}
60.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
Reset
