Monday, December 18 Does the set of ordered pairs represent a function? Explain {(7, −4), (7, −2), (6, −3), (−9, 5)}
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No, the set of ordered pairs does not represent a function.
A function is a relation between a set of inputs (called the domain) and a set of outputs (called the range), such that each input is associated with exactly one output. In this given set, the input value 7 is associated with two different output values (-4 and -2). This violates the definition of a function, as an input should only have one output. Therefore, this set of ordered pairs does not represent a function.