In this lesson, you will learn what functions are and how to evaluate them given an input. Also, you'll understand the difference between relations and functions (and why the vertical line test might help you in determining which one you're dealing with). Last but not least, you will be able to use the "black box" model to represent functions (that will be especially useful when we discuss composite functions).
Duration: 1h
Essential questions
- What is a function? Describe what it means for a situation to have a functional relationship.
- What is the difference between relations and functions?
- What is domain? What is range? How are they related to real life situations?
- In what ways can different types of functions be used and altered to model various situations that occur in life? Give specific examples.
- How should scales, labels and key features of functions be used to represent a function or specific situation?
- What are the advantages of representing the relationship between quantities symbolically? Numerically? Graphically? Compare all methods.
Lesson objectives
- Students will identify a function algebraically, verbally, numerically and visually
- Students will understand the difference between relations and functions
- Students will understand and apply the vertical line test
- Students will be able to represent functions using the black-box model
- Students will recognize and utilize function notation
Class work and homework
- Class work
- Homework
- Minumum
- ?
- Extra