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Look at this set of ordered pairs:Is this relation a function?Choices:(A) yes(B) no
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Q. Look at this set of ordered pairs:Is this relation a function?Choices:(A) yes(B) no
- Define Function in Ordered Pairs: Define what a function is in terms of ordered pairs.A relation is a function if each input (first component of the ordered pairs) is associated with exactly one output (second component of the ordered pairs). This means that in a function, no input value can map to more than one output value.
- Check for Repeated Input Values: Examine the set of ordered pairs for any repeated input values.The given set of ordered pairs is:We need to check if there is any input value (the first number in each pair) that is repeated with a different output value (the second number in each pair).
- Identify Multiple Output Values: Identify if there are any input values that have more than one output value.Looking at the set of ordered pairs, we see that the input value appears twice, with two different output values: and . This means that the input is associated with more than one output, which violates the definition of a function.
- Conclude Relation as Function: Conclude whether the relation is a function based on the findings.Since the input value has two different output values, the relation is not a function.
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