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. 

Required

5

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

Required

2

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

Required

2

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

Required

5

How would you find the domain of this function?

Required

10

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

Required

10

Notes for Domain and Range of Continuous Graphs using Interval Notation

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

Required

5

Identify the domain and range of each graph.

Domain:_______ 

Range:_______ 

10

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

Required

2

Is this an open or closed interval?

Required

2

Is this an open or closed interval?

Required

2

Is this an open or closed interval?

Required

2

Is this an open or closed interval?

Required

2

Is this an open or closed interval?

Required

2

Is this an open or closed interval?

Required

2

Is this an open or closed interval?

Required

10

Put the interval notations and graphs in the right category.

[3,5)
[5,∞)
(-∞,-9)
[3.5]
(3,5]
(3,5)

Open Interval
Closed Interval
Both

Required

8

Match the inequailty and graph with the correct interval notation.

Required

10

How would you find the range of this function?

Required

10

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

_______ 
_______ 

Required

5

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

Required

2

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

Required

2

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

Required

5

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

Required

5

Write the following in interval notation.

Required

5

Write the following in interval notatin.

Required

40

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

5

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

Required

2

What is the domain of the function?

Required

2

What is the range of the function?

Required

2

What is the range of the function?

Required

2

What is the domain of the function?

Required

2

What is the domain of the function?

Required

2

What is the range of the function?

Required

2

What is the domain of the function?

Required

2

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?

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 of x is the function f(x) positive?

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?

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)