Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 6: Even More Graphs of Functions

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Interactive Quiz--Graphs of Linear Functions, Quiz 06, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 06, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 06, Level 3

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

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Quiz Library

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Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 07, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 07, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 07, Level 1

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 07, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 07, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 07, Level 2

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 07, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 07, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 07, Level 3

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 08, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 08, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 08, Level 1

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 08, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 08, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 08, Level 2

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 08, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 08, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 08, Level 3

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 09, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 09, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 09, Level 1

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 09, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 09, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 09, Level 2

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 09, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 09, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 09, Level 3

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 10, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 10, Level 1 Interactive Quiz: Graphs of Linear Functions, Quiz 10, Level 1

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 10, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 10, Level 2 Interactive Quiz: Graphs of Linear Functions, Quiz 10, Level 2

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Interactive Quiz--Graphs of Linear Functions, Quiz 10, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 10, Level 3 Interactive Quiz: Graphs of Linear Functions, Quiz 10, Level 3

This is part of a collection of math quizzes on the topic of graphs of linear functions. Some quizzes are interactive and some are in PDF format.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

 

Graphs of Linear Functions
Math Example--Graphical Solutions to Rational Equations--Example 1 Math Example--Graphical Solutions to Rational Equations--Example 1 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

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Create a Slide Show

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Accessibility

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Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 10 Math Example--Graphical Solutions to Rational Equations--Example 10 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 2 Math Example--Graphical Solutions to Rational Equations--Example 2 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 3 Math Example--Graphical Solutions to Rational Equations--Example 3 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 4 Math Example--Graphical Solutions to Rational Equations--Example 4 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 5 Math Example--Graphical Solutions to Rational Equations--Example 5 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 6 Math Example--Graphical Solutions to Rational Equations--Example 6 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

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Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 7 Math Example--Graphical Solutions to Rational Equations--Example 7 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 8 Math Example--Graphical Solutions to Rational Equations--Example 8 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Graphical Solutions to Rational Equations--Example 9 Math Example--Graphical Solutions to Rational Equations--Example 9 This is part of a collection of math examples that show how to use graphical techniques to solve rational equations. Note: The download is an image file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Create a Slide Show

Subscribers can use Slide Show Creator to create a slide show from the complete collection of math examples on this topic. To see the complete clip art collection, click on this Link. To learn more about Slide Show Creator, click on this Link: 

Accessibility

This resource can also be used with a screen reader.
Rational Functions and Equations
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 1

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 2x + 4. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 4), (1, 6), (2, 8), (3, 10), and (4, 12), illustrating how the y-value increases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 10

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -x + 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 6), (1, 5), (2, 4), (3, 3), and (4, 2), illustrating how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 11

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -x - 8. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -8), (1, -9), (2, -10), (3, -11), and (4, -12), showing how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 12

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = -x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -1), (2, -2), (3, -3), and (4, -4), illustrating how the y-value decreases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 13

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0.5x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4.5), (2, 5), (3, 5.5), and (4, 6), showing how the y-value increases by 0.5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 14

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 0.1x - 5. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, -5), (1, -4.9), (2, -4.8), (3, -4.7), and (4, -4.6), illustrating how the y-value increases by 0.1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 15

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0.2x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0.2), (2, 0.4), (3, 0.6), and (4, 0.8), showing how the y-value increases by 0.2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 16

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -0.5x + 7. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 7), (1, 6.5), (2, 6), (3, 5.5), and (4, 5), illustrating how the y-value decreases by 0.5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 17

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = -0.1x - 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -4), (1, -4.1), (2, -4.2), (3, -4.3), and (4, -4.4), showing how the y-value decreases by 0.1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 18

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -0.6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -0.6), (2, -1.2), (3, -1.8), and (4, -2.4), illustrating how the y-value decreases by 0.6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 19

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 0), (2, 0), (3, 0), and (4, 0), showing how the y-value remains constant at 0 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 2

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 3x - 2. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10), showing how the y-value increases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 20

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = 0x - 6. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, -6), (1, -6), (2, -6), (3, -6), and (4, -6), illustrating how the y-value remains constant at -6 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 21

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = 0 * x + 4. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 4), (1, 4), (2, 4), (3, 4), and (4, 4), showing how the y-value remains constant at 4 for all values of x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 3

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = 5x. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, 5), (2, 10), (3, 15), and (4, 20), illustrating how the y-value increases by 5 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 4

Topic

Linear Functions

Description

This example showcases the process of creating a table of x-y coordinates and graphing the linear function y = -2x + 5. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 5), (1, 3), (2, 1), (3, -1), and (4, -3), demonstrating how the y-value decreases by 2 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 5

Topic

Linear Functions

Description

This example illustrates the creation of a table of x-y coordinates and the graphing of the linear function y = -3x - 4. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -4), (1, -7), (2, -10), (3, -13), and (4, -16), showing how the y-value decreases by 3 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 6

Topic

Linear Functions

Description

This example demonstrates how to create a table of x-y coordinates and graph the linear function y = -6x. The image shows both a graph and a table representing this function. The table includes coordinate pairs (0, 0), (1, -6), (2, -12), (3, -18), and (4, -24), illustrating how the y-value decreases by 6 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 7

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x + 7. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 7), (1, 8), (2, 9), (3, 10), and (4, 11), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 8

Topic

Linear Functions

Description

This example demonstrates the creation of a table of x-y coordinates and the graphing of the linear function y = x - 8. The image displays both a graph and a table representing this function. The table includes coordinate pairs (0, -8), (1, -7), (2, -6), (3, -5), and (4, -4), illustrating how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9 Math Example--Linear Function Concepts--Linear Functions in Tabular and Graph Form: Example 9

Topic

Linear Functions

Description

This example illustrates the process of creating a table of x-y coordinates and graphing the linear function y = x. The image presents both a graph and a table for this function. The table includes coordinate pairs (0, 0), (1, 1), (2, 2), (3, 3), and (4, 4), showing how the y-value increases by 1 for each unit increase in x.

Graphs of Linear Functions
Math Example--Rational Concepts--Graphs of Rational Functions: Example 1 Math Example--Rational Concepts--Graphs of Rational Functions: Example 1 Math Example--Rational Concepts--Graphs of Rational Functions: Example 1

Topic

Rational Functions

Description

This example demonstrates the graph of the rational function y = 1 / x. The graph is a hyperbola with vertical and horizontal asymptotes, with the vertical asymptote occurring at x = 0. Students are tasked with graphing the function and determining its vertical asymptote.

Rational Functions and Equations
Math Example--Rational Concepts--Graphs of Rational Functions: Example 10 Math Example--Rational Concepts--Graphs of Rational Functions: Example 10 Math Example--Rational Concepts--Graphs of Rational Functions: Example 10

Topic

Rational Functions

Description

This example showcases the graph of the rational function y = (x - 5) / (x + 4). The graph features a vertical asymptote at x = -4 and displays two branches, one in the first quadrant and one in the third quadrant. Students are asked to graph the function and identify its vertical asymptote.

Rational Functions and Equations
Math Example--Rational Concepts--Graphs of Rational Functions: Example 11 Math Example--Rational Concepts--Graphs of Rational Functions: Example 11 Math Example--Rational Concepts--Graphs of Rational Functions: Example 11

Topic

Rational Functions

Description

This example showcases the graph of the rational function y = (x - 1) / (x - 3). The graph features a vertical asymptote at x = 3 and displays two distinct branches, one in the first quadrant and another in the third quadrant. Students are tasked with graphing the function and identifying its vertical asymptote.

Rational Functions and Equations
Math Example--Rational Concepts--Graphs of Rational Functions: Example 12 Math Example--Rational Concepts--Graphs of Rational Functions: Example 12 Math Example--Rational Concepts--Graphs of Rational Functions: Example 12

Topic

Rational Functions

Description

This example illustrates the graph of the rational function y = (x + 1) / ((x + 2)(x + 4)). The graph features two vertical asymptotes at x = -2 and x = -4, and displays three distinct branches, with one in each of the first, second, and third quadrants. Students are asked to graph the function and identify its vertical asymptotes.

Rational Functions and Equations
Math Example--Rational Concepts--Graphs of Rational Functions: Example 13 Math Example--Rational Concepts--Graphs of Rational Functions: Example 13 Math Example--Rational Concepts--Graphs of Rational Functions: Example 13

Topic

Rational Functions

Description

This example presents the graph of the rational function y = (x - 3) / ((x + 3)(x + 5)). The graph features vertical asymptotes at x = -3 and x = -5, illustrating how the function behaves near these lines. Students are tasked with graphing the function and determining its vertical asymptotes.

Rational Functions and Equations
Math Example--Rational Concepts--Graphs of Rational Functions: Example 14 Math Example--Rational Concepts--Graphs of Rational Functions: Example 14 Math Example--Rational Concepts--Graphs of Rational Functions: Example 14

Topic

Rational Functions

Description

This example illustrates the graph of the rational function y = (x + 3) / ((x - 1)(x + 4)). The graph features vertical asymptotes at x = -4 and x = 1, displaying how the function behaves near these lines. Students are asked to graph the function and identify its vertical asymptotes.

Rational Functions and Equations