Algebra 1 Notes SOL A.7 More on Domain/Range
Mr. Hannam
Name: ___________________________________________ Date: _______________ Block: ________
More on Domain and Range


Domain: Set of inputs for a relation
Range: Set of outputs for a relation
Examples:
a)
b)
c)
d)
{(-1, 9), (5, 9), (2.3, 7),
(4, -2)}
domain
domain
domain
domain
________________
________________
________________
________________
range
range
range
range
_______________
_______________
_______________
_______________
function?______
function?______
function?______
function?______
Describing Domain and Range on Continuous Relations

Above examples had distinct points – what if a relation has an infinite number of points?

Use inequality symbols to describe
Examples: Describe the domain and range of the relations
a)
c)
Domain
_______________
Range
_______________
Function?
_______________
b)
d)
Algebra 1 Notes SOL A.7 More on Domain/Range
Mr. Hannam Page 2
Set Builder Notation

Domain and Range are sets, so we must use
set notation

Use curly brackets { } to define a set

Declare the variable and its type (if type is
missing, assume real numbers)

Describe the set using conditions

All real numbers: {x | x}
Empty set: { } or 
Examples: Describe the domain and range of the functions on the previous page in set
builder notation.
a)
b)
c)
d)
D: -4 ≤ x ≤ 4
D: -2 ≤ x < 2
D: x ≥ 0
D: All real numbers
R: -2 ≤ y ≤ 2
R: 0 ≤ y ≤ 4
R: y ≥ 1
R: y ≤ 2
Rewrite:
Rewrite:
Rewrite:
Rewrite:
D: __________________
D: __________________
D: __________________
D: __________________
R: __________________
R: __________________
R: __________________
R: __________________
You Try: Find the domain and range of the relations in set builder notation. Is the relation
a function?
a)
b)
c)
d)