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Functions and Relations + Domain and Range
Contributed by: Funicella

What kind of test can be used

to determine whether the

graph is a function

Side Line Test

 Vertical Line Test

Straight Line Test

Horizontal Line Test

This is the graph of a Function

False

 True
 True
The graph pictured is a function

False

Determine whether the corrospondence

from x to y is a function

Function

3

x

5
7
9

Not a Function

y

a
b
d
e

c

Determine whether the corrospondence

from x to y is a function

1

x

2

3

4

5

-2

-9

y

7

8

Not a Function

 Function

x y

-4 3 

-3 2

-2 1

-1 0

0 -1

Determine whether the

set of points is a function

Not a Function

 Function
A relation is a set of _____________.
ordered pairs
x-values
functions
y-values
Which of the following relations is a function?
{(0, 0), (0, 1), (1, 2)}
{(0, 0}, (1, 3), (2, 3)}
{(1, 1), (1, 2), (1, 3)}
{(3, 1), (4, 1), (3, 2)}
Which of the following relations is a function?
{(3,7), (3, 6), (5, 3)}
{(0, 4), (5, 6), (5, 8)}
{(1, 2), (2, 2), (3, 4)}
{(1, 2), (-1, 3), (-1, 8)}
Yes
No
Cannot be determined from the data
Which of the relations is a function? 
{(2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}
{(1, 1), (2, 1), (3, 1), (4, 1), (5, 1)}
{(0, 2), (0, 3), (0, 4), (0, 5), (0, 6)}
Consider the relation A = {(5, 2),  (7, 4),  (9, 10),  (x, 5)}. 

Which value for x will make relation A a function? 
7
5
4
9
Enter your answer from
least to greatest with a 
comma between each value.
What is the
domain?
{         }
Enter your answer from
least to greatest with a 
comma between each value.
What is therange?
{         }
Enter your answer from
least to greatest with a 
comma between each value.
What is the
domain?
{       }
Enter your answer from
least to greatest with a 
comma between each value.
What is therange?
{       }
Enter your answer from
least to greatest with a 
comma between each value.
What is the
domain?
{        }
Enter your answer from
least to greatest with a 
comma between each value.
What is therange?
{        }
Enter your answer from
least to greatest with a 
comma between each value.
What is the
domain?
{       }
Enter your answer from
least to greatest with a 
comma between each value.
What is therange?
{       }
Enter your answer from
least to greatest with a 
comma between each value.
What is therange?
{      }
Enter your answer from
least to greatest with a 
comma between each value.
What is the
domain?
{       }
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