Title  Description  Thumbnail Image 

VIDEO: Algebra Applications: Rational Functions 
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. This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebraapplicationsrationalfunctions 

VIDEO: Algebra Applications: Rational Functions, Segment 1: Submarines 
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. This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebraapplicationsrationalfunctionssegment1submarines A Promethean Flipchart is available for this video: https://www.media4math.com/library/prometheanflipchartalgebraapplicationssubmarines 

VIDEO: Algebra Applications: Rational Functions, Segment 2: Biology 
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. This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebraapplicationsrationalfunctionssegment2biology A Promethean Flipchart is available for this video: https://www.media4math.com/library/prometheanflipchartalgebraapplicationsbiology 

VIDEO: Algebra Applications: Rational Functions, Segment 3: Hubble Telescope 
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. This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebraapplicationsrationalfunctionssegment3hubbletelescope A Promethean Flipchart is available for this video: https://www.media4math.com/library/prometheanflipchartalgebraapplicationshubble 

VIDEO: Algebra Nspirations: Rational Functions and Expressions 
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 TINspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes This video includes a video transcript: https://media4math.com/library/videotranscriptalgebranspirationsrationalfunctionsandexpressions A Promethean Flipchart is available for this video: https://www.media4math.com/admin/content?title=promethean&type=library_asset&status=All&langcode=All 

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 1 
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/algebranspirationsrationalfunctionsandexpressionssegment2 A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 1 and 2 is available via the following link: 

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 2 
In this Math Lab we explore rational and irrational numbers. This video is Segment 2 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 1, click the following link: • https://www.media4math.com/library/algebranspirationsrationalfunctionsandexpressionssegment1 A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 1 and 2 is available via the following link: 

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 3 
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/algebranspirationsrationalfunctionsandexpressionssegment4 A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 3 and 4 is available via the following link: 

VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 4 
In this Math Lab we look at equivalent rational functions. This video is Segment 4 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 3, click the following link: • https://www.media4math.com/library/algebranspirationsrationalfunctionsandexpressionssegment3 A Video Transcript for Algebra Nspirations: Rational Functions and Expressions, Segments 3 and 4 is available via the following link: 

VIDEO: TINspire MiniTutorial: Exploring Rational Function Graphs with Sliders 
In this TI Nspire tutorial, the Graph window is used to create a sliderbased graph of a rational function. This video supports the TINspire Clickpad and Touchpad. This MiniTutorial Video includes a WORKSHEET: https://media4math.com/library/worksheettinspireminitutorialexploringrationalfunctiongraphssliders A Video Transcript is available for this tutorial at this link: Link Note: The download is an MP4 file. 

Math ExamplesGraphs of Rational Functions 
The complete set of 28 examples that make up this set of tutorials. NOTE: The download is a PPT file. 

Math ExamplesRational Expressions 
The complete set of 28 examples that make up this set of tutorials. NOTE: The download is a PPT file. 

Math ExamplesRational Functions in Tabular and Graph Form 
This set of tutorials provides 28 examples of rational functions in tabular and graph form. NOTE: The download is a PPT file. 

INSTRUCTIONAL RESOURCE: Desmos Tutorial: Matching Coordinates to Rational Functions 
In this Slide Show, use the Desmos graphing calculator to explore rational functions. Note: The download is a PPT file. 

DefinitionGraphs of Rational Functions 
The definition of the term "Graphs of Rational Functions." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/VisualGlossary 

DefinitionRational Functions 
The definition of the term "Rational Functions." Note: The download is a JPG file. Related ResourcesTo see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/VisualGlossary 

Math Example: Graphs of Rational Functions: Example 01 
Example 1: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/x. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 02 
Example 2: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/x. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 03 
Example 3: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(x + c). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 04 
Example 4: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(x  c). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 05 
Example 5: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(cx + d). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 06 
Example 6: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(cx + d). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 07 
Example 7: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(cx  d). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 08 
Example 8: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = 1/(cx + d). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 

Math Example: Graphs of Rational Functions: Example 09 
Example 9: The graph of a rational function of the form f(x)/g(x), under the following conditions: y = (x + a)/(x + b). Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2WNnSLS 