Type:

Interactive, Graphic Organizer/Worksheet, Other

Description:

The purpose of this activity is to reinforce the concept of function and the use of functional notation rather than to teach the concepts.

This lab looks at input/output pictures to emphasize that a function has only one output for every input even through the output need not be unique. Using functional notation, students determine both range and domain values from a graph and then do the same for a variety of given functional equations. The real world applications include a piecewise function (cell phone costs) and require the student to find a variety of values as well as determining realistic domains.

Subjects:

  • Mathematics > General

Education Levels:

  • Higher Education
  • Graduate
  • Undergraduate-Upper Division
  • Undergraduate-Lower Division

Keywords:

Introduction to Functions Concept and Notation Domain and Range Basic Functions Linear Equations Quadratic

Language:

English

Access Privileges:

Members

License Deed:

Creative Commons Attribution 3.0

Collections:

None
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member-name
Terrie Teegarden

If students have not seen rational functions, question #7 can be eliminated.

Follow Up/ Discussion Questions:

* Have the students calculate their own cell phone rates against that of a competitor.

* Discuss why mathematicians prefer functions to relations.

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