Pre Calculus 10
Lesson
Domain and Range:
Let’s use proper notation
State the Domain and Range
Ways to write this: the old way
Interpret the meaning

Let’s begin to use the Set Notation (curly brackets are used for this, or if there
is no restriction on the domain or range we simply say x  and read “x
belongs to all real numbers” or “the domain is all real numbers).
Task: Match each relation with its
domain and range
Identify what type of notation is being used to describe domain and range:
words, inequalities, interval notation, number line, set notation.
Choose one of the relations and express its domain and range using as many
notation as you can (words, inequalities, interval notation, number line, set
notation)
Your turn to play #1
Express the domain (all
permissible values of
independent variable) and
range (all permissible values
of dependent variable) using
the SET NOTATION.
Your turn to play #2
Express the domain (all
permissible values of
independent variable) and
range (all permissible values
of dependent variable) using
the INTERVAL NOTATION.
Your turn to play #3
Express the domain (all
permissible values of
independent variable) and
range (all permissible values
of dependent variable) using
the
NUMBER LINE NOTATION.
Your turn to play #4
Express the domain (all
permissible values of
independent variable) and
range (all permissible values
of dependent variable) using
the
INEQUALITIES NOTATION.
Your turn to play #5
Express the domain (all
permissible values of
independent variable) and
range (all permissible values
of dependent variable) using
the
INEQUALITIES NOTATION.
Your turn to play #6
Express the domain (all
permissible values of
independent variable) and
range (all permissible values
of dependent variable) using
the
NUMBER LINES NOTATION
Note: This relation has a non
permissible value.
So far, all the relations involved CONTINUOUS DATA.
We could have DISCRETE DATA too. In such case it is best to
use SET NOTATION to describe domain and range (permissible
values of input and output variables)
Give some examples of CONTINUOUS quantities and some
examples of DISCRETE quantities.
Your turn to play #7
Given a function, there could be a
need to set the domain arbitrarily
(based on the context)
Graph y  2 x for each of the specified domains.
Solution
Your turn to play