Download Notes: Domain and Range

Domain: In a set of ordered pairs,
(x, y), the domain is the set of all
x-coordinates.
Range: In a set of ordered pairs,
(x, y), the range is the set of all
y-coordinates.
The set of ordered pairs may be
a limited number of points.
Given the following set of ordered pairs,
find the domain and range.
Ex:{(2,3),(-1,0),(2,-5),(0,-3)}
Domain: {2,-1,0}
Range: {3,0,-5,-3}
If a number occurs
more than once, you
do not need to list it
more than one time.
The set of ordered pairs may be an infinite
number of points, described by a graph.
6
5
Given the
following graph,
find the domain
and range.
4
3
2
1
-6
-4
-2
2
-1
4
6
5
4
3
2
1
-6
-4
-2
2
4
-1
Domain:{all real numbers}
Range:{y:y≥0}
6
The set of ordered pairs may be an infinite number
of points, described by an algebraic expression.
Given the following function,
find the domain and range.
Example: f (x) 
x5
Domain: {x: x≥5}
Range: {y: y≥0}
Practice: Find the domain and range
of the following sets of ordered pairs.
1. {(3,7),(-3,7),(7,-2),(-8,-5),(0,-1)}
Domain:{3,-3,7,-8,0}
Range:{7,-2,-5,-1}
2.
10
5
-10
10
20
-5
-10
Domain={x:x  3} Range:{all reals}
-15
2
3. f (x)  3x  4
Domain={all reals}
Range:{y:y≥-4}
2
4. f (x) 
x
Domain={x:x≠0}
Range:{y:y≠0}
5.
2
2
x  y 4
Domain={x: -2≤x≤2}
Note: This is NOT
a Function!
Range:{y: -2≤y≤2}
6. f (x)  3(x 1)  2
Domain={all reals}
Range:{all reals}