In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a rational function. This video supports the TI-Nspire Clickpad and Touchpad.

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, Exploring Rational Function Graphs with Sliders.

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After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes

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In this Investigation we look at an application of rational functions: Boyle's Law. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-2

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In this Investigation we look at graphs of rational functions. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Rational Functions and Expressions. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Rational Functions and Expressions, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-rational-functions-and-expressions-segment-4

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In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of rational functions. Such disparate phenomena as submarines, photography, and the appearance of certain organisms can be explained through rational function models. 

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In spite of their massive size, submarines are precision instruments. A submarine must withstand large amounts of water pressure; otherwise, a serious breach can occur. Rational functions are used to study the relationship between water pressure and volume. Students graph rational functions to study the forces at work with a submarine. 

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All living things take up a certain amount of space, and therefore have volume. They also have a certain amount of surface area. The ratio of surface area to volume, which is a rational function, reveals important information about the organism. Students look at different graphs of these functions for different organisms. 

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The Hubble Telescope has transformed how we view the universe. We learn about the lens formula and how it is used in the construction of telescopes. 

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This worksheet supports the TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. Note: This worksheet supports the TI-Nspire Clickpad and Touchpad. To access the Mini-Tutorial Video associated with this worksheet click on this link: Video

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This worksheet supports the TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. Note: This worksheet supports the TI-Nspire Clickpad and Touchpad. To access the Mini-Tutorial Video associated with this worksheet click on this link: Video

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This worksheet supports the TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. Note: This worksheet supports the TI-Nspire Clickpad and Touchpad. To access the Mini-Tutorial Video associated with this worksheet click on this link: Video

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This Teacher's Guide provides an overview of the 28 worked-out examples that show how to simplify a variety of rational expressions. Note: The download is a PDF.

This Teacher's Guide provides an overview of the 28 worked-out examples that show how to graph Rational Functions. Note: The download is a PDF.

Rational Functions in Tabular and Graph Form: Example 28. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = -1, b = -1, c = -1, d = -1.

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Rational Functions in Tabular and Graph Form: Example 27. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = -1, b = -1, c = -1, d = 1.

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Rational Functions in Tabular and Graph Form: Example 26. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = 1, b = -1, c = -1, d = -1.

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Rational Functions in Tabular and Graph Form: Example 25. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = 1, b = -1, c = -1, d = 1.

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Rational Functions in Tabular and Graph Form: Example 24. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = -1, b = 1, c = -1, d = -1.

Note: The download is a JPG file.

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Rational Functions in Tabular and Graph Form: Example 23. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = -1, b = 1, c = -1, d = 1.

Note: The download is a JPG file.

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Rational Functions in Tabular and Graph Form: Example 22. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = -1, b = -1, c = 1, d = -1.

Note: The download is a JPG file.

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Rational Functions in Tabular and Graph Form: Example 21. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = -1, b = -1, c = 1, d = 1.

Note: The download is a JPG file.

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Rational Functions in Tabular and Graph Form: Example 20. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = 1, b = 1, c = -1, d = -1.

Note: The download is a JPG file.

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Rational Functions in Tabular and Graph Form: Example 19. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = 1, b = 1, c = -1, d = 1.

Note: The download is a JPG file.

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Rational Functions in Tabular and Graph Form: Example 18. In this tutorial, construct a function table and graph for a rational function of the form f(x) = a/(bx + c) + d for a = 1, b = -1, c = 1, d = -1.

Note: The download is a JPG file.

Related Resources

To see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/3gdqiLq