Questions: Determine whether the relation is a function. Give the domain and the range for the relation. [ (4,3),(6,5),(8,8) ] Is this a function? No Yes

Determine whether the relation is a function. Give the domain and the range for the relation. [ (4,3),(6,5),(8,8) ] Is this a function? No Yes
Transcript text: Determine whether the relation is a function. Give the domain and the range for the relation. \[ \{(4,3),(6,5),(8,8)\} \] Is this a function? No Yes
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Solution

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Solution Steps

Step 1: Determine if the relation is a function

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). In the given relation: \[ \{(4,3),(6,5),(8,8)\} \]

  • The x-values are 4, 6, and 8.
  • Each x-value is unique and corresponds to only one y-value.

Since no x-value is repeated, the relation is a function.

Step 2: Find the domain

The domain of a relation is the set of all x-values. For the given relation: \[ \{(4,3),(6,5),(8,8)\} \] The domain is: \[ \{4, 6, 8\} \]

Step 3: Find the range

The range of a relation is the set of all y-values. For the given relation: \[ \{(4,3),(6,5),(8,8)\} \] The range is: \[ \{3, 5, 8\} \]

Final Answer

  • The relation is a function: \\(\boxed{\text{Yes}}\\).
  • The domain is \\(\boxed{\{4, 6, 8\}}\\).
  • The range is \\(\boxed{\{3, 5, 8\}}\\).
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