Questions: Is this relation a function?

Is this relation a function?
Transcript text: Is this relation a function?
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Solution

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Solution Steps

Step 1: Understand the Definition of a Function

A relation is a function if every element in the domain is mapped to exactly one element in the range.

Step 2: Analyze the Mapping Diagram
  • The domain consists of the elements: 4, 14.
  • The range consists of the elements: 0, -5, 16.
  • The mappings are:
    • 4 maps to 0
    • 4 maps to -5
    • 14 maps to 16
Step 3: Check for Multiple Mappings
  • The element 4 in the domain maps to both 0 and -5 in the range.

Final Answer

No, this relation is not a function because the element 4 in the domain maps to more than one element in the range.

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