Domain & Range
Inequality (Set) Notation
When stating the domain and range of a function, you have to look at the beginning and end of your function in order to properly label the domain and range.
End Marking Notation
Use
Use
<
≤ side blank
If both ends of domain or range go to infinity, use x є
R or y є
R

Inequality (set) Notation
1. Start with the domain- how far to the left does the function go?
-5
2. What is the end marking? What inequality symbol will you use?
Closed dot, so ≤
3. How far to the right does the domain go? What symbol will we use?
3, closed dot so ≤
4. Now to the range- What is the lowest point my function reaches? What symbol?
3, ≤
5. What is the highest? Symbol?
4, ≤
D: 5 ≤ x ≤ 3
R: 3 ≤ y ≤ 4

Domain & Range
Interval Notation
End Marking Notation
Use
[ or
]
Use
( or
)
Use
(∞ or
∞ )

Interval Notation
1. Start with the domain- how far to the left does the function go?
-5
2. What is the end marking? What interval symbol will you use?
Closed dot, so [
3. How far to the right does the domain go? What symbol will we use?
3, closed dot so ]
4. Now to the range- What is the lowest point my function reaches? What symbol?
-3, [
5. What is the highest? Symbol?
4, ]
D: [-5, 3]
R: [-3, 4]

Inequality Notation
1. Start with the domain- how far to the left does the function go?
-8
2. What is the end marking? What inequality symbol will you use?
Closed dot, so ≤
3. How far to the right does the domain go? What symbol will we use?
Infinity, no symbol
4. Now to the range- What is the lowest point my function reaches? What symbol?
Negative infinity, no symbol
5. What is the highest? Symbol?
4, ≤
D: 8 ≤ x
R: y ≤ 4
Right side blank
Left side blank

Interval Notation
1. Start with the domain- how far to the left does the function go?
-8
2. What is the end marking? What inequality symbol will you use?
Closed dot, so [
3. How far to the right does the domain go? What symbol will we use?
Infinity, )
4. Now to the range- What is the lowest point my function reaches? What symbol?
Negative infinity, (
5. What is the highest? Symbol?
4, ]
D: [8, ∞)
R: (-
∞
, 4]

Interval
D:
R:
Inequality
D:
R:

Interval
D:
R:
Inequality
D:
R:

Interval
D:
R:
Inequality
D:
R:

Interval
D:
R:
Inequality
D:
R: