Honors Algebra 2
Lesson 1.1
Domain, Range and End Behavior
Name: ________________________________________________
Key Definitions:
1. An ___________________________________ is a part of a number line without any breaks.
2. A ___________________________________ interval has two endpoints, which may or may not be included in the
interval.
3. A ___________________________________ interval is unbounded at one or both ends.
*Notice that “brackets” denote that an endpoint IS included in the interval and “parenthesis” denote that
an endpoint IS NOT included in the interval.
Practice Problems
1. Complete the table by writing the finite interval shown on each number line as an inequality, using set
notation, and using interval notation.
A _____________________________________ is a relation in which each element in the set of inputs is paired with
exactly one element in the set of outputs. We can check if a relation is a function of not by using the
“Vertical Line Test”.
A discrete function consists of points not
connected.
A continuous function has an infinite number
of elements
The ______________________________________ of a function represents the x-values (“inputs” of the function).
The ______________________________________ of a function represents the y-values (“outputs of the function).
The ______________________________________ of a function describes what happens to the y-values as the x-values
either increase without bound or decrease without bound.
Practice Problems
2. Identify the domain and the range of the function as an inequality, using set notation, and using interval
notation. Tell whether the relation is a function or not. If it is a function, identify whether it is discrete or
continuous. Also describe the end behavior of the function (if possible).
Domain:
Range:
Discrete or Continuous:
Domain:
Discrete or Continuous:
Function:
End Behavior:
Range:
Function:
End Behavior: