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WorksheetsFunctions - Domain and Range
Total questions: 40
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
Determine if the relation is a function:
{(1, -2), (-2, 0), (-1, 2 ), (1, 3)}
{(1, -2), (-2, 0), (-1, 2 ), (1, 3)}
a)
Yes
b)
No
c)
Cannot be determined
2.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
3.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
4.
.
a)
Function
b)
Not a Function
5.
a)
Function
b)
Not a Function
6.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
7.
a)
Function
b)
Not a Function
8.
.
a)
Function
b)
Not a Function
9.
a)
Function
b)
Not a Function
10.
a)
Function
b)
Not a Function
11.
a)
Function
b)
Not a Function
12.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
13.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
14.
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}
15.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
16.
a)
{-7, -5, 2, 3, 7}
b)
{-7, 7}
c)
{1, 2, 3, 4, 5}
d)
{1, 5}
17.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7}
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
18.
Express the following in Interval Notation
-8 ≤ x < 8
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
19.
Express the following in Interval Notation
-9 < x ≤ -4
-9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
20.
Express the following interval in Set notation:
[3, 5]
[3, 5]
a)
3 ≤ x ≤ 5
b)
3 < x ≤ 5
c)
3 ≤ x < 5
d)
3 < x < 5
21.
Look at the graph. Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
22.
Write the following in interval notation
x ≥ 100
x ≥ 100
a)
(0, 100] (Real quick)
b)
(∞, 100]
c)
[100, ∞)
d)
(∞, 100)
23.
Look at the picture. Which number line corresponds to [-2, 5]?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
24.
Look at the picture. Select the correct interval notation for the given number line.
a)
(-∞, -8) U (-4, ∞)
b)
(-∞, -8] U [-4, ∞)
c)
(-8, -4)
d)
[-8, -4]
25.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
26.
What is the RANGE of this function?
a)
-∞≤y≤∞
b)
-∞≤y≤∞
c)
All Real Numbers
d)
-∞<y<-∞
27.
What is the RANGE of this graph?
a)
-7<x<5
b)
-7≤x<5
c)
-3<x<1
d)
-3≤x<1
28.
What is the Domain of this linear function?
a)
-6 ≤ x ≤ 6
b)
0 ≤ x ≤ 7
c)
2 ≤ x ≤ 7
d)
No Solution
29.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
30.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
31.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
32.
I throw a ball 10 feet in the air. If the domain is the number of seconds, what is a possible range for the function?
a)
All real numbers between 0 and 10
b)
Integers between 0 and 10
c)
Rational Numbers between 0 and 10
d)
Whole Numbers between 0 and 10
33.
a)
[-3, 2)
b)
(-4, 2]
c)
(-5, 2]
d)
[-4, 2]
34.
a)
(-∞, ∞)
b)
[0, ∞)
c)
[-5, 5]
d)
(0, ∞)
35.
a)
(-∞, ∞)
b)
[-2, 2]
c)
(-2, 2)
d)
[-5, 5]
36.
a)
[-1, 3)
b)
(-1, ∞)
c)
(3, ∞)
d)
(-∞, 3)
37.
Use the graph to determine the maximum
a)
(1, 2)
b)
(2, 1)
c)
none
d)
(1, 0)
38.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
39.
Find the domain of the relation
a)
(-5, 2)
b)
[-5, 2 ]
c)
[-3, 3]
d)
(-3, 3)
40.
To celebrate the holiday season this year, Six Flags has created an extreme six-lane, tubing hill with real snow called the “Superman’s Awesome SNOW Tubing Ride.” The cost of each ticket for one day is $35. The number of tickets purchased by groups is given by the domain {3, 8, 12}. Which would be a reasonable range for the total cost of the tickets the groups would pay?
a)
{3,8,12}
b)
{105,280,420}
c)
{3,8,12,105,280,420}
d)
{38,43,51}
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