Home Work 1
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School
Community College of Aurora *
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Course
1340
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
10
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#1 Homework 3.1 Functions and Function Notation
Daler Nizomaddinov
Question 1
1/1 pt
2
99
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2/10
Select all of the following graphs which represent as a function of .
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
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Question 2
1/1 pt
2
99
Question 3
1/1 pt
2
99
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
Question Help: Video 1
Video 2
-2
-3
1
3
4
5
9
8
14
11
0
-3
1
3
1
4
8
7
12
16
-1
-5
1
2
5
2
9
8
10
11
0
-4
2
3
4
3
8
9
2
10
Select all of the following tables which represent as a function of .
Question Help: Video
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Question 4
1/1 pt
2
99
Question 5
1/1 pt
1-2
96
The plot below represents the function :
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
6
7
8
-1
-2
Evaluate :
2
Solve :
= -1
Question Help: Video
Based on the table below,
0
1
2
3
4
5
6
7
8
9
69
7
40
45
17
8
47
84
18
85
Evaluate :
= 18
Solve :
= 1
Question Help: Video
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Question 6
1/1 pt
2
99
Question 7
1/1 pt
2
99
Question 8
1/1 pt
2
99
Given the function . Calculate the following values:
24
14
8
6
8
Question Help: Video
Suppose . Compute the following:
A.) -143
B.) -81
Question Help: Video
Given the function . Calculate the following values:
−6
38
14
8
x
+ 1
2
+ 6
x
+ 1
− 6
8
x
2
− 6
x
− 6
Question Help: (
)
(
)
Video
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Question 9
1/1 pt
2
99
Question 10
1/1 pt
1
99
Function Evaluation
Given the function evaluate each of the following.
Give your answers as a simplified expressions.
C) Evaluate
25
x
2
+ 10
x
+ 2
D) Evaluate
x
2
− 4
x
+ 5
E) Evaluate
16
x
2
− 32
x
+ 17
Question Help: Video
Use the set of ordered pairs to determine whether the relation is a function. Then find the domain of
the relation, and the range of the relation.
Is the relation a function?
No
Yes
The domain of the relation is −9,−8,3,9
(Enter the domain elements,
separated by commas) The range of the relation is −4,−10,−1,1,6
(Enter the range elements,
separated by commas) Show Detailed Solution
Question Help: Video
Written Example
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Question 11
1/1 pt
1
99
Find the domain and range of the function .
The domain is −
4
7
,
∞
(Enter your answer in interval notation)
The range is 0,
∞
(Enter your answer in interval notation)
Show Detailed Solution
Question Help: [
)
[
)
Video
Written Example
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Question 12
1/1 pt
2
90
Finding the Domain and Range of a Graph
Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as an
Inequality.
Note:
To type in the sign, type <=
. For example, to enter the Domain [-10,10) as an inequality, type
-10 <= x < 10
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
x
y
Domain written in Interval Notation
Domain written as an Inequality
−5,1
−5 <
x
≤ 1
Range written in Interval Notation
Range written as an Inequality
1,4
1 <
y
≤ 4
Question Help: (
]
(
]
Video
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9/10
Question 13
1/1 pt
1
98
Question 14
1/1 pt
2
99
Finding the Domain and Range of a Graph
Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as an
Inequality.
Note:
To type in the sign, type <=
. For example, to enter the Domain [-10,10) as an inequality, type
-10 <= x < 10
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
x
y
Domain written in Interval Notation
Domain written as an Inequality
−2,3
−2 ≤
x
< 3
Range written in Interval Notation
Range written as an Inequality
−5,4
−5 <
y
≤ 4
Question Help: [
)
(
]
Video
Find the domain of the function . What is the only value of not in the domain?
Only Value
−0.428571
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Think about the following relation: {(2,-2),(4,1),(2,-1),(7,1)}
What is the domain of the relation? { 2,4,7
}
What is the range of the relation? { -2,1,-1
}