Problem 2 Finding Domain and Range

Use the relation from Problem 1. What are the domain and range of the relation?

The relation is {(0, 10,000), (4, 9744), (8, 8976), (12, 7696), (16, 5904)}.

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2. What are the domain and range of this relation?

   {( − 3 , 14 ) , negative 3 comma 14 close comma  (0, 7), (2, 0), ( 9 , − 18 ) , ( 23 , − 99 ) open 9 comma negative 18 close comma open 23 comma negative 99 close }

Problem 3 Identifying Functions

Is the relation a function?

1. 
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   Each element in the domain corresponds with exactly one element in the range. This relation is a function.

2. { ( 4 , − 1 ) , open 4 comma negative 1 close comma  (8, 6), ( 1 , − 1 ) , open 1 comma negative 1 close comma  (6, 6), (4, 1)}

   Each x-coordinate must correspond to only one y-coordinate. The x-coordinate 4 corresponds to − 1 negative 1  and 1. The relation is not a function.

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3. Is the relation a function?
   1. 
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   2. {( − 7 , 14 ) , ( 9 , − 7 ) , negative 7 comma 14 close comma open 9 comma negative 7 close comma  (14, 7), (7, 14)}
   3. Reasoning How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function?