QuestionRelation 2 Function Not a function
Studdy Solution
STEP 1
1. A function is defined as a relation where each element in the domain is mapped to exactly one element in the range.
2. We are given a mapping diagram with domain elements and range elements .
3. We need to determine if the given relation is a function or not.
STEP 2
1. Analyze the mapping of each domain element.
2. Determine if each domain element maps to exactly one range element.
3. Conclude whether the relation is a function or not.
STEP 3
Examine the mappings provided in the diagram: - - - -
STEP 4
Check each domain element to ensure it maps to only one range element:
- maps to
- maps to
- maps to
- maps to
Each domain element maps to exactly one range element.
STEP 5
Since each domain element has a unique mapping to a range element, the relation satisfies the definition of a function.
The relation is a:
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