The document discusses domain and range in functions. [1] The domain is the set of possible values that the independent variable can take on. [2] The range is the set of possible values of the dependent variable. [3] Interval notation uses ( ) for open intervals and [ ] for closed intervals to describe spans of values for the domain.

1. Domain and Range
Independent & Dependent Variables

2. Quick Review
Possible x-values for
EF-12:
y = 4 − x −1
Possible x-values for
Sharpening Pencils Lab
(Length of the pencil)
Sharpening Pencils Lab
Independent Variable:
Length or the mass?

3. Domain
Set of possible values that the
independent variable can take on
has a special name. It is called the
DOMAIN of the function. It
consists of every number that x
can represent for your function.

4. Interval Notation
An alternative to using inequalities to
describe a span of values.
Includes smallest value, largest value
and enclosed by ( ) or [ ].
We use ( ) if the endpoints are not
included - so if we have < or > or open
endpoints on a graph.
We use [ ] if the endpoints are included -
so if we have ≤ or ≥ or closed
endpoints on a graph.

5. Interval Notation
Examples
Rewrite the inter vals below in set notation:
1.) − 6 ≤ x ≤ 3 3.) − 1 < x ≤ 10
2.)0 < x < 17 4.) − 2 ≤ x < 29

6. Quick Review
Possible y-values for
EF-12:
y = 4 − x −1
Possible y-values for
Sharpening Pencils Lab
(Length of the pencil)
Sharpening Pencils Lab
Dependent Variable: Length
or the mass?

7. Range
The RANGE of a function is the
set of possible values of the
dependent variable. It consists
of every number that y can
represent for your function.

8. EF-51
Domain Range

9. EF-51
Domain Range

10. EF-51
Domain Range

11. EF-51
Domain Range