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8.1 Relations And Functions

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Jessca Lundin
Jessca Lundin

The document discusses relations and functions. It provides examples of relations that are and are not functions using ordered pairs. A relation is a function if each element in the domain is mapped to exactly one element in the range. This is determined using a mapping diagram or by applying the vertical line test to a graphical representation of the relation.

Formation
1  sur  17
Chapter 8 Section 1: Relations and Functions February 4 th , 2009
What two forms of information is being illustrated? Write in your Notes!
Graph 1: The Population of New York City, 1790-1840
 
Food for Life Canned Food Drive The information in this chart can be written as an ordered pair , also known as a RELATION. 150 21 106 74 20 105 195 22 104 148 24 103 216 22 102 133 25 101 Number of Cans Number of Students Home-room
Relation  Ordered Pair ,[object Object],[object Object],[object Object],[object Object],Y X 150 21 106 74 20 105 195 22 104 148 24 103 216 22 102 133 25 101 Number of Cans Number of Students Home-room
They’re All Related ,[object Object],[object Object],[object Object],[object Object],[object Object]
Some Relations are Functions ,[object Object],[object Object]
Mapping Diagram ,[object Object],[object Object],[object Object],[object Object]
So, If You Missed It The First Time. ,[object Object],[object Object]
Make a Map, Is it a Function? ,[object Object],[object Object],[object Object],[object Object],Is a Function Is a Function Is NOT a Function Is a Function
Real Life: Thinking, Instead of Math ,[object Object],[object Object]
Try These ,[object Object],[object Object],[object Object],[object Object]
Graphing Relations and Functions ,[object Object],[object Object],[object Object]
This is the Vertical-Line Test… ,[object Object],[object Object],[object Object],Pencil passes (2,0) and (2,3), so this relation is NOT a function. -4 5 3 4 3 2 0 2 -3 -4 Range Domain
Come to the Board ,[object Object],3 4 7 5 0 1 -2 0 -2 -3 -5 -6 Range Domain 5 0 5 1 3 -1 -1 -1 6 -2 4 -7 Range Domain 4 1 4 2 0 0 4 -3 4 -4 4 -5 Range Domain
Assignment #1 ,[object Object],[object Object],[object Object],[object Object]

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8.1 Relations And Functions

  • 1. Chapter 8 Section 1: Relations and Functions February 4 th , 2009
  • 2. What two forms of information is being illustrated? Write in your Notes!
  • 3. Graph 1: The Population of New York City, 1790-1840
  • 4.  
  • 5. Food for Life Canned Food Drive The information in this chart can be written as an ordered pair , also known as a RELATION. 150 21 106 74 20 105 195 22 104 148 24 103 216 22 102 133 25 101 Number of Cans Number of Students Home-room
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.