1. 2
xy = ( ) 8]73[ 2
−−= xy
x
y
1
=
xy = 7)(5 −= xfy
xy 3= 86 += xy
Function FormulaFunction NotationFunction
)]1(2[4 +−−= xfy
8)]7(3[ −−= xfy
1
2
+
=
x
y
8)2( += xfy
75 −= xy

2. 1.4 – Domain & Range

3. Domain: Range:
- the x-values of a relation - the y-values of a relation
Determine the domain and range of
the relations on the following pages.
Determine the domain and range of
the relations on the following pages.

4. Domain = {x∈R} Range = {y∈R}
‘x’ belongs to
the set of real
numbers
‘x’ belongs to
the set of real
numbers

5. Domain = {x∈R} Range = {y∈R|y≤6}
‘y’ is less than
or equal to 6
‘y’ is less than
or equal to 6

6. {(2,4), (3,5), (4,6), (5,7)}
Domain = {2,3,4,5} Range = {4,5,6,7}

7. Domain = {x∈R|-3<x≤5} Range = {y=3}
‘x’ is greater
than -3, but
less than or
equal to 5
‘x’ is greater
than -3, but
less than or
equal to 5

8. Domain = {x∈R|-4≤x≤4} Range = {y∈R |-4≤y≤4}

9. Domain = {x∈Ι|-6≤x≤3} Range = {y∈Ι |-1≤y≤8}
‘x’ belongs to
the set of
integers
‘x’ belongs to
the set of
integers

10. What about equations?
8)1(2)( 2
−−= xxg
53)( −= xxfa)
b)
This is a linear function (not and not
vertical or horizontal), so x and y
can be any value.
Domain = {x∈R}Domain = {x∈R} Range = {y∈R}Range = {y∈R}
• This is a quadratic function.
• It opens upward, thus has a min.
• The min. value is -8.
Domain = {x∈R}Domain = {x∈R} Range = {y∈R|y≥-8}Range = {y∈R|y≥-8}

11. 9)( += xxhc) Are there any restrictions
that must be placed on
‘x’, or will any ‘x’ value
work in this function?
Are there any restrictions
that must be placed on
‘x’, or will any ‘x’ value
work in this function?Can’tbe-’ve
So, what values of ‘x’ will not make the
part under the squareroot sign negative?
Domain = {x∈R|x≥-9}Domain = {x∈R|x≥-9} Range = {y∈R|y≥0}Range = {y∈R|y≥0}