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Functions, Domain and Range
Contributed by: Duffy
(Original author: Bemis)

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

 Function

Not a Function

x y

-4

-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, 2), (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)}
• Point C has integer coordinates.
• The graph of line AC is not function.
Which of the following points could be point C?
(-1,7)
(-1,-7)
Point A (7, 1) is plotted on the x-y coordinate plane. Find out the location of point by following the given criteria:
(7,-1)
(0,0)
Yes
No
Cannot be determined from these data
{(2,1), (2,2), (2,3), (2,4), (2,5)}
{(0,2), (0,3), (0,4), (0,5), (0,6)}
{(1,1), (2,1), (3,1), (4,1), (5,1)}
7
9
4
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