AU1 Relations and Functions

 Unit 1

Key Learning:
You can add, subtract, multiply, and divide functions just as you can real numbers.  Unlike real numbers, however, you can also compose find the inverse of functions.

Unit Essential Question:
How are operations with functions related to operations with real numbers?

Concept 1:
Relations & Functions
Concept 2:
Function Operations & Composition
Concept 3:
Function Inverses
Lesson Essential Questions:

In what ways can you represent a relation in mathematics?

When is a relation also a function?

How do you evaluate functions using function notation?

How do you identify the domain and range of a relation or function?

Lesson Essential Questions:

How do you add, subtract, multiply, and divide functions?

How do you evaluate composite functions?

How do you compose functions?
Lesson Essential Questions:

How do you find the inverse of a function?

How do you determine if a function is one-to-one?
Key Vocabulary:
relation, discrete, bounded, unbounded, mapping diagram, set notation, function, domain, range, vertical line test, function notation
Key Vocabulary:
function composition
Key Vocabulary:
inverse, one-to-one, horizontal line test

Extra Practice Online:
(2-1) Practice/ Relations & Functions