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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
- Check Input-Output Mapping: To determine if a set of ordered pairs represents a function, we need to check if each input (first component of each ordered pair) maps to exactly one output (second component of each ordered pair). A function cannot have an input that corresponds to more than one output.
- Examine Given Ordered Pairs: Let's examine the given ordered pairs:egin{align*}(, )(\newline\)(, )(\newline\)(, ) ext{We need to check if any first component} (input) ext{is repeated with a different second component} (output).
- Verify Unique Inputs: Looking at the first components of each ordered pair, we have , , and . None of these inputs are repeated, which means each input is paired with exactly one output.
- Confirm Function Representation: Since each input has a unique output and no input is paired with more than one output, the set of ordered pairs does represent a function.
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