Determine whether the following set of ordered pairs represents a function. If it is a function, write "Function" in the blank; if not, write "Not a Function". {(7, 11), (8, 13), (9, 15)}
Answer & Analysis
Analysis
Question Analysis
The question tests the student's ability to determine whether a given set of ordered pairs represents a function. A function requires that each input value (x-value) corresponds to exactly one output value (y-value).
Key Concept Explanation
A function is a special type of relation where each element in the domain (x-values) corresponds to exactly one element in the range (y-values). If any x-value has more than one y-value, then the relation is not a function.
Step-by-step Solution
1. List the given ordered pairs: {(7, 11), (8, 13), (9, 15)}.
2. Check for duplicate x-values: 7, 8, and 9 are all unique.
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