warm up. functions defined essential question: how can you determine if a relation is a function?
TRANSCRIPT
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Warm Up
1) 2)
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FUNCTIONS DEFINEDEssential Question: How can you determine if a relation is a function?
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Key Terms
• Function: A relation where for every Input there is exactly
ONE Output.
• Relation: A set or group of Ordered Pairs.
• Domain: The X-values or Input.
• Range: The Y-values or Output.
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How can you tell if a Relation is a Function?
X Y
1 2
3 5
6 1
• For every X-value there is only 1 Y-value.
• A relation is NOT a function if an X-Value has 2 or more Y-Values.
Domain: Range:
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NOT a Function
X 1 3 4 6 7 3
Y 2 4 5 7 9 6
Domain: Range:
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Determining if a Graph is a Function
• A graph is a function if it passes the Vertical Line Test.
• If a vertical line is drawn anywhere on the coordinate plane, it should only touch the “function” once.
Domain: Range:
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NOT a Function
Domain: Range:
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Examples for Tickets
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Function or Not a Function?
X Y
2 -4
3 0
4 5
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Function or Not a Function?Domain and Range
X Y __
3 4
2 0
1 7
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Function or Not a Function?
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Function or Not a Function?Domain and Range
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Function or Not a Function?