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# Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.

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## Answer to a math question Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.

Birdie
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Yes, $f$ is a function. In mathematical terms, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. In this case, the set $A$ $the set of all people who were alive in 2010$ is the domain, and the set $B$ $the set of all real numbers$ is the codomain. The function $f$ assigns to each person in $A$ their weight during the year 2010. Since each person in $A$ has exactly one weight, each element in $A$ is associated with exactly one element in $B$. Therefore, $f$ is a function. It’s important to note that the weights $outputs$ can be the same for different people $inputs$, but each person $input$ has exactly one weight $output$. This is consistent with the definition of a function.
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