Domain, Range and Functions Problem Set #3
2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
Is this a function?

Cannot be determined
Yes
No
4
-4
8
-8
4
-4
8
-8
12
-12
Is this a function?
Cannot be
    determined
Yes
No
Is this a function?
Yes
No
Cannot be    determined
Is this a function?
Cannot be
    determined
Yes
No
Cannot be
    determined
Yes
No
Is this a function?
Function?
Yes
No
Cannot be
    determined
No
Cannot be determined
Yes
Is this a function?
What is the domain of the following relation?
{(4, 1), (-3, 1), (3, 6)}
{1, 6}
{-3, 3, 4}
{4, 3}
{-3, 1, 3, 4, 6}
What is the range of the relation?
{(-1, 4), (2, 4), (6, -4), (0, 3), (5, 3)}
{-1, 0, 2, 5, 6}
{-4, 3, 3, 4, 4}
{-4, 3, 4} 
{4, 3}
When determining whether a relation is a
function, which coordinate cannot repeat?
x-coordinate
y-coordinate
x- and y-coordinates
Which coordinate is the domain?
x-coordinate
y-coordinate
z-coordinate
the domain does not consist of
    any coordinates
Remember:  a relation is a set of ordered pairs.
Is this relation a function?
{(1, 4), (-5, 2), (4, 1), (1, 6)}
Yes
No, because "1" repeats 
No, beause "4" repeats
Cannot be determined
Is this relation a function?
{(-8, 6), (-5, -2), (0, 5), (1, -2), (0, -8)}
Yes
No, because "-2 and -8" repeat
No, because "0" repeats
Cannot be determined
Is this relation a function?
{(6, 6), (1, 1), (5, 5), (-3, -3)}
Yes
No, because the coordinates repeat
No, because a function has to have    at least 5 ordered pairs
Cannot be determined
What is the domain of this relation?
{(5, 6), (5, 3), (5, 1), (5, 0), (5, -6), (5, -10)}
Therefore, this is NOT a function!
{
}
-3

0

2
5
-4
1
3
Is this a function?

Yes

No

-1

3

2

-6

2

-2

  0

Is this a function?

Yes

No

2
-2
4
-4
6
-6
2
-2
4
-4
6
-6
8
-8
10
-10
What is the domain?

{y: -6 ≤ y ≤ 6.5}

{x: x ≥ -9}

{x: -9 ≤ x ≤ 3}

 {all real numbers}
-2
-2
x
3
3
y
1
3
0
2

What is the domain?

{-2, -2, 3, 3}

{0, 1, 2, 3}

{-2, -3}

{-2, 0, 1, 2, 3}

0

3

8

x
2

-4

-4

y
1

5

What is the range?

{0, 2, 3, 8}

{-4, 1, 5}

{-4, 1, 5, -4}

{-4, 1, 5, 4}

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