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1.1 Inequalities and Interval Notation (Due 9/27/2024)

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Last updated about 1 year ago
56 questions
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10
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10
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10
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10
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5
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40
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Essential Question: How can the domain and range be written in interval notation?


Students will be able to convert the domain and range of functions and into interval notation.


Show you work for full credit.

Question 1
1.

Look at the graph of f(x) and describe what the function is doing between x=-4 and x=3.

Question 2
2.

All the values of y on the graph are between y=-6 and y=4.

Question 3
3.

All the values of x on the graph are between x=-8 and x=7.

Question 4
4.

How would you find the domain of this function?

Question 5
5.

Create a mapping diagram, table, and graph for the relation given by the following coordinates:

Question 6
6.

Notes for Domain and Range of Continuous Graphs using Interval Notation

Question 7
7.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 8
8.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 9
9.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 10
10.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 11
11.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 12
12.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 13
13.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 14
14.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 15
15.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 16
16.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 17
17.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 18
18.
Identify the domain and range of each graph.

Domain:_______

Range:_______
Question 19
19.

Use the graph on each number line to write the subset of numbers it represents.

Question 20
20.

Is this an open or closed interval?

Question 21
21.

Is this an open or closed interval?

Question 22
22.

Is this an open or closed interval?

Question 23
23.

Is this an open or closed interval?

Question 24
24.

Is this an open or closed interval?

Question 25
25.

Is this an open or closed interval?

Question 26
26.

Is this an open or closed interval?

Question 27
27.

Put the interval notations and graphs in the right category.

  • [3,5)
  • [3.5]
  • (3,5]
  • [5,∞)
  • (3,5)
  • (-∞,-9)
  • Open Interval
  • Closed Interval
  • Both
Question 28
28.

Match the inequailty and graph with the correct interval notation.

Question 29
29.

How would you find the range of this function?


Question 30
30.
What intervals of x is the function f(x) increasing?

_______
_______

Question 31
31.

For what interval of x is the function f(x) decreasing?

Question 32
32.

For what interval of x is the function f(x) negative?

Question 33
33.

For what interval of x is the function f(x) positive?

Question 34
34.

Write the following in interval notation. Use the little side keyboard to find infinity if you need it and type your answer.

Question 35
35.

Write the following in interval notation.

Question 36
36.

Write the following in interval notatin.

Question 37
37.

Match each graph to its domain and range.
Click HERE to watch the following tutorial on how to match. (Ignore the end of the video)

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Question 38
38.

What is the domain? Use interval notation. No spaces.

Question 39
39.

What is the range? Use interval notation. No spaces.

Question 40
40.

What is the domain? Use interval notation. No spaces.

Question 41
41.

What is the domain? Use interval notation. No spaces.

Question 42
42.

What is the range? Use interval notation. No spaces.

Question 43
43.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Question 44
44.

What is the range? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Question 45
45.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Question 46
46.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Question 47
47.

What is the domain? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Question 48
48.

What is the range? Use interval notation. No spaces. Open the keyboard for the infinity symbol if necessary.

Question 49
49.

What is the domain of the function?

Question 50
50.

What is the range of the function?

Question 51
51.

What is the range of the function?

Question 52
52.

What is the domain of the function?

Question 53
53.

What is the domain of the function?

Question 54
54.

What is the range of the function?

Question 55
55.

What is the domain of the function?

Question 56
56.

What is the range of the function?