Formalizing Relations and Functions

1
Formalizing Relations and Functions

• Chapter 4 Section 6

2
Objective

• Students will determine whether a relation is a
  function and find domain and range and use
  function notation.

3
Relation

• A pairing of numbers in one set
• Each independent variable is paired with a
  dependent variable.

4
Domain

• The set of independent variables
• Usually all the possible X values.

5
Range

• Set of dependent variables
• All the possible solutions to a function.

6
Turn to page 268

• Look at Problem 1
• Try the Got It problem for each example

7
Vertical Line Test

• If any vertical line passes through the graph
  more than one time then the graph is not a
  function.
• Passing more than one time would mean that an X
  value occurs more than once with a different
  output.

8
On page 269

• Look at Problem 2
• Try the Got It problem for that example.

9
Function Notation

• Y is replaced with F(x) meaning that the
  equation no longer has two variables but is
  written as a function of X.

10
On page 269

• Look at Problem 3
• Try the Got It problem for that example.

11
Turn to page 270

• Look at Problem 4 and 5
• Try the Got It problems for those examples.

12
On page 271

• Try problems 1-7 on your own
• Raise your hand when you are finished.