Group Work,Homework,Take-Home Quiz ,In-Class Activity

Time Required: 45 minutes


  • Define a function.
  • Given either the domain or range value of a function, determine the other using a graph.
  • Using function notation, evaluate the value for a variety of functions given both numeric and algebraic expressions.
  • Solve real world application problems involving functions.
  • Determine the appropriate domain for a real world functional situation.

  • Evaluating expressions
  • Reading graphs
  • Introduction to function, domain and range, and functional notation, and factoring

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.

This lab is a good summative activity to reinforce the concept of function and the use of functional notation. It can be used as an in-class follow-up activity after students have been introduced to the concepts. This activity also makes a good take-home quiz.

See also our notes about using this activity in class, on the Comments page.

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