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Identify the domain and range for the relation: (12, 1), (10, 3), (8,5), (6, 7)

User Noteness
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Answers:

Domain = {12, 10, 8, 6}

Range = {1, 3, 5, 7}

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Step-by-step explanation:

The domain is the set of allowed x inputs. Simply list the x coordinates of each point.

The range will have us list the y coordinates of each point. This shows the list of possible outputs.

Use curly braces for the domain and range because each is a set of values.

Optionally you can sort the values. I decided not to sort them to keep the same order of coordinates mentioned from left to right.

{12,10,8,6} sorts to {6,8,10,12}

If there were any duplicate items, in either domain or range, then you would erase them. Simply list each unique item once.

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Extra info:

  • This relation is a function because none of the domain values repeat themselves. Each x input leads to exactly one y output.
  • Furthermore, the function is one-to-one (aka injective) because none of the y coordinates repeat themselves. Each x input leads to a unique or different y output.
  • A one-to-one function is very useful when it comes to function inverses.
User Rob J
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