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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 element of each ordered pair) maps to exactly one output (second element of each ordered pair). A function cannot have one input corresponding to multiple outputs.
- Examine Given Ordered Pairs: Let's examine the given set of ordered pairs:We need to check if any first element (input) is repeated with a different second element (output).
- Check for Repeated Inputs: Looking at the first elements of each ordered pair, we have , , , and . None of these inputs are repeated, which means each input has only one corresponding output.
- Confirm Function Representation: Since each input is paired with exactly one output, the given set of ordered pairs does represent a function.
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