QuestionQuestion
Which set of ordered pairs does not represent a function?
Answer
Studdy Solution
STEP 1
1. A function is defined as a relation where each input (first element of the ordered pair) is associated with exactly one output (second element of the ordered pair).
2. We need to determine which set of ordered pairs does not satisfy the definition of a function.
STEP 2
1. Review the definition of a function.
2. Analyze each set of ordered pairs to check for repeated inputs.
3. Identify the set that does not represent a function.
STEP 3
Recall that a function assigns each input exactly one output. This means that no two ordered pairs in the set can have the same first element with different second elements.
STEP 4
Examine each set of ordered pairs to see if any input (first element) is repeated with different outputs (second elements).
STEP 5
For the first set: , note that there is a missing second element for the pair , which suggests a typo or incomplete pair. This set is invalid as a function due to incomplete data.
STEP 6
Identify the set that does not represent a function. The first set does not represent a function due to incomplete data.
The set of ordered pairs that does not represent a function is:
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