Question

Let P be the set of all people, dead or alive. Consider the function f: P\longrightarrow...

Let P be the set of all people, dead or alive. Consider the function f: P\longrightarrow P where, if x is a person in P, then f(x) is the biological father of x. In order to make this a well-defined function, we will assume that everyone has one and only one biological father. Check all of the following statements that apply.

E. The function $f$ is not 1-1 because there are some people who do not have children.

F. The function $f$ is onto because everyone has a father.

G. The function $f$ is onto because everyone has only one father.

H. The function $f$ is not onto because not every person is a father.

I. The function $f$ is not onto because two people could have the same father.

J. None of the above statements apply.
Math   Advanced-Math   
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