1. Algebra 2
Domain and Range
The Domain of a relation is the set of all _____________________.
The Range of a relation is the set of all ______________________.
EX1: Table of Values
input output Domain: { }
2 1 Range: { }
4 3
6 5
8 7
10 9
When finding the domain of a function, ask yourself what values can't be used. Your
domain is everything else.
1. The domain of all polynomial functions is _______________________________.
2. Radical (square root) functions CANNOT have a __________________________
__________________________________.
• To find the domain, solve what is under the radical symbol for what is ≥ 0.
This eliminates negatives under the radical.
3. Rational (fraction) functions CANNOT have a ____________________________
_____________________________.
• To find the domain, set the denominator equal to 0 and solve. The domain
is everything else.
Domain and Range are given in SET NOTATION:
All Real Numbers: All Real Numbers between -2 and 4:
• •
• •
• •
All Real Numbers except 2 and -2: •
• All Real Numbers beyond -2 and 4:
• •
All Real Numbers greater than or equal •
to 2: •
• •
•
To find the _______________ of a function, think about the graph. What values of the
_________________ are included in the graph?

2. Examples: Give the domain and range of each function.
1. f(x) = x2 + 3
2. g(x) = 2x3 + x2 + 4x – 1
,
3. h(x) = √3x + 1
4. f(x) = 4x2 + 2x + 1
x2 – 4
5. g(x) = x+1 .
x2 + 3x – 4
HW: Domain and Range Worksheet