Algebra II Day 16

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Algebra IIDay 16
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Relation - set of ordered pairs
Examples
T
G
3
M
7 4 5 1 - 8 3
- 5 2 0 6 10
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( x , y ) ( Input , output )
Domain set of inputs (First coordinates)
Range set of outputs ( Second coordinates
)
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M
7 4 5 1 - 8 3
- 5 2 0 6 10
Domain Range
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Domain ?
What are the first coordinates?
Range ?
What are the second coordinates?
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Is this a relation?
Yes! It is a set of ordered pairs?
( 2 , 7 )
How many ordered pairs?
Infinite number
( 6 , 3 )
( - 2 , 3 )
Domain?


( 2, - 1 )
Range?
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A special relation in which each input (
element of the domain) is matched with one output
(element of the range).
Function
( Boy , Girl )
Function a special relation in which each boy
is matched with exactly one girl.
Boys cant two time - girls can.
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Which of these relations are functions?
G
T
S Yes! T No! E , G ?
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Equations?
Solve for y
When you plug in for x, how many outputs will you
get?
One output! It is a function.
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Graphs ?
( 5 , 4 )
Not a function!
( 5 , 1 )
Inputs (Boys) live on the x-axis. If there are
two points above/below each other, they have the
same x and the graph is not a function.
Vertical line test- if a vertical line hits the
graph in more than one point, the graph is not a
function.
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Is this relation a function?
( 2 , 7 )
( 6 , 3 )
( - 2 , 3 )
( 2, - 1 )
No! Doesnt pass vertical line test!
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Function notation
Function notation is very useful.
When diving underwater, whats the pressure (P)
when the depth is (d)?
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- 3
- 3
- 3
- 3
Note ( - 3 , 26 ) is on the graph of h.
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Related Websites
http//nlvm.usu.edu/en/nav/frames_asid_191_g_4_t_2
.html