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.

Identifying Domain and Range

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

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

Nokorɛ

Ɛnyɛ ampa

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

Nokorɛ

Ɛnyɛ ampa

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How would you find the domain of this function?

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

null

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Notes for Domain and Range of Continuous Graphs using Interval Notation

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Identify the domain and range of each graph.

Domain:

Range:

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Identify the domain and range of each graph.

Domain:

Range:

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Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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5

Identify the domain and range of each graph.

Domain:

Range:

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Identify the domain and range of each graph.

Domain:

Range:

Day 2 (9/30/25)

Using Interval Notation

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

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Is this an open or closed interval?

Closed (equal to; including)

Open (not equal to; not included)

Both

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Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

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2

Is this an open or closed interval?

Closed (equal to; including)

Both

Open (not equal to; not included)

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2

Is this an open or closed interval?

Closed (equal to; including)

Open (not equal to; not included)

Both

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2

Is this an open or closed interval?

Both

Closed (equal to; including)

Open (not equal to; not included)

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2

Is this an open or closed interval?

Closed (equal to; including)

Open (not equal to; not included)

Both

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2

Is this an open or closed interval?

Open (not equal to; not included)

Closed (equal to; including)

Both

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Put the interval notations and graphs in the right category.

[5,∞)
[3,5]
(3,5)
[3,5)
(3,5]
(-∞,-9)

Open Interval
Closed Interval
Both

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Match the inequailty and graph with the correct interval notation.

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How would you find the range of this function?

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

null

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

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

[-3,0]

[0,2]

(0,2)

{0,2}

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For what interval(s) of x is the function f(x) positive? (There maybe more than one interval)

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

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Write the following in interval notation.

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Write the following in interval notatin.

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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)

Draggable item		Corresponding Item

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

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

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

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

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

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

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

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

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5

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

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5

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

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

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What is the domain of the function?

{0.5, 1.5, 3, 4.5}

1.5 < x < 4

{1.5, 2, 3.5, 4}

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What is the range of the function?

{0.5, 1.5, 3, 4.5}

{1.5, 2, 3.5, 4}

1.5 < y < 4

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What is the range of the function?

{-2, 4, 7, 3, 5,}

-3 < y < 2

-2 < y < 5

{-3, -1, 0, 1, 2}

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What is the domain of the function?

{-2, 4, 7, 3, 5,}

-3 < x < 2

{-3, -1, 0, 1, 2}

-2 < x < 5

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What is the domain of the function?

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What is the range of the function?

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What is the domain of the function?

{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

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What is the range of the function?

{ 0, 35, 70, 105, 140, 175, 210, 245, 280, 315, 350}

Learning Log

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Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

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Learning Outcomes
What is one thing you learned?
(Use complete sentences for full credit)

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

Identifying Domain and Range

Day 2 (9/30/25)

Using Interval Notation

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

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.

Identifying Domain and Range

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

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

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

How would you find the domain of this function?

How would you find the domain of this function?

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

Notes for Domain and Range of Continuous Graphs using Interval Notation

Notes for Domain and Range of Continuous Graphs using Interval Notation

Day 2 (9/30/25)

Using Interval Notation

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

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Put the interval notations and graphs in the right category.

Match the inequailty and graph with the correct interval notation.

How would you find the range of this function?

How would you find the range of this function?

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

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

For what interval(s) of x is the function f(x) positive? (There maybe more than one interval)

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

Write the following in interval notation.

Write the following in interval notatin.

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)

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

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

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

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

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

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

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

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

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

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

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

What is the domain of the function?

What is the range of the function?

What is the range of the function?

What is the domain of the function?

What is the domain of the function?

What is the range of the function?

What is the domain of the function?

What is the range of the function?

Learning Log

Essential Question:What was the Essential Question of this assignment?(Use complete sentences for full credit)

Learning OutcomesWhat is one thing you learned?(Use complete sentences for full credit)

1 Question I have.1 question I have is...(Must be a question)ORWhat was the hardest part of the assignment?

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.

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

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

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

How would you find the domain of this function?

How would you find the domain of this function?

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

Notes for Domain and Range of Continuous Graphs using Interval Notation

Notes for Domain and Range of Continuous Graphs using Interval Notation

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

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

Is this an open or closed interval?

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)

Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

Learning Outcomes
What is one thing you learned?
(Use complete sentences for full credit)

1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?

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)

Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)

Learning Outcomes
What is one thing you learned?
(Use complete sentences for full credit)

1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?