The document explains the concepts of domain and range in mathematics, defining the domain as the set of permissible x-values and the range as the set of permissible y-values. It provides examples of different representations of functions, including ordered pairs, mapping diagrams, tables of values, and graphs. Additionally, it outlines how to determine the domain and range from a mapping diagram and a table of values.

1. Domain and Range
of a Function

2. of a function? A
range of a
function?

3. The domain of the
function is the set of all
permissible values of x
that give real values for y.

4. The range of the function is
the set of permissible
values for y or f(x) that give
the values of x real
numbers.

5. Domain : {1,2,3}
Range : {3,6,9}

6. Domain :
{1,2,3,4,5}
Range :

7. Determine the domain and range of the following
functions given the sets of ordered pairs.

8. A function has different
representations.
• set of ordered pairs
• mapping diagram
• table of values
• graph
• function notation.

10. UNLOCKING TERMS
1. A mapping diagram is an
image of two sets that shows
the relationship between the
input (x-values) and the
output values (y-values).

11. UNLOCKING TERMS
2. A table of values is a systematic
arrangement of data in rows and
columns that shows the relationship
between variables.
It is used to display the input values (x-
values) and their corresponding output
values (y-values).

14. Based on the correspondence
you have listed, what do you
think is the domain and range
of the function represented by
the mapping diagram?
Domain: {2,4,6,8}

15. What is the domain and range
of the function represented by
the table of values?
Range: {5,10,15,20}

16. A. Determine the domain and range of the
function represented by the mapping diagram
and a table of values.

17. A. Determine the domain and range of the
function represented by the mapping diagram
and a table of values.