Domain and Range

1
Domain and Range
2
Types of Numbers
Irrational, Q (nonterminating, nonrepeating
decimals)
3
Inequalities

• lt less than
• lt less than or equal to
• gt greater than
• gt greater than or equal to

• Inequalities can be represented
• in words
• on a number line
• as a list of numbers
• in set notation

4
Words
List of Numbers
x is any real number greater than -3
-3-2
Number Line
Set Notation
x ? R I x gt 3
5
Words
List of Numbers
N/A
x is any real number less than or equal to -3 or
greater than 4
Number Line
Set Notation
x ? R I x lt -3 or x gt4
6
Words
List of Numbers
-25
x is any real number between -2 and 5 inclusive
Number Line
Set Notation
x ? R I -2 lt x lt 5
7
Words
List of Numbers
-5,-4,-3,-2,-1,0
x is any integer between -5 and 0 inclusive
Number Line
Set Notation
x ? Z I -5 lt x lt 0
8
Homework

• Inequality Worksheet

9
Domain

• Is this a function?
• What are the possible x-values?
• We call this the functions domain.
• In set notation
• x?R I -4 x 5
• x I -4 x 5, x?R
• Domain All possible values of the independent
  variable.

10
Range

• Is this a function?
• What are the possible y-values?
• We call this the functions range.
• In set notation
• y?R I -2 y 4
• y I -2 y 4, y?R
• Range All possible values of the dependent
  variable.

11
Homework

• Worksheet
• P. 63 1, 4, 5, 12 Challenge 8, 9

12
Warm Up
13
Restrictions