Relations and Functions

The following relation is a function.

{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)}

• True

• False

Which of the relations below is a function?

• {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}

• {(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}

• {(0, 2), (0, 3), (0, 4), (0, 5), (0, 6)}

The graph of a relation is shown at the right. Is this relation a function?

• Yes

• No

• Cannot be determined from a graph

Is the relation depicted in the table below a function?

• Yes

• No

• Cannot be determined from a table

The graph of a relation is shown below. Is the relation a function?

• Yes

• No

• Cannot be determined from a graph

The graph of a relation is shown below. Is the relation a function?

• Yes

• No

• Cannot be determined from a graph

What is the range of the graph?
Remember: Range is y! 

• 1 ≤ x ≤ 5

• 1 < x < 5

• 1 ≤ y ≤ 5

• 1 < y < 5

What is the domain of the graph?
Remember:  Domain is x

• 1≤ x ≤ 4

• 1 < x < 4

• 1≤ y ≤ 4

• 1 < y < 4

Which graph does NOT pass the vertical line test?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

All of the y values or outputs are called what?

• Domain

• Range