1. Lesson 4

1.5. Explore

Mathematics 20-1 Module 7

Module 7: Absolute Value and Reciprocal Functions

 

Explore

 

This shows a photo of a man’s hands playing keys on a piano. He appears to be performing on a stage.

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In music, contrary motion is when two melodies move in opposite directions. For example, on a piano, contrary motion is achieved when the left hand plays an ascending scale while the right hand plays a descending scale. Perhaps surprisingly, even though the notes played by each hand do not match, a pleasant melody is created.

 

In this lesson you will see how the idea of contrary motion is applied to the graphs of reciprocal functions. You will learn strategies for graphing reciprocal functions and discover how the properties of reciprocals are used to create graphs of reciprocal functions.


glossary

Here are some of the words you will want to define in Module 7 Glossary Terms in this lesson:

  • reciprocal function
  • vertical asymptote
  • horizontal asymptote
  • invariant point