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domain and codomain

Given:

All students at a university have a mentor.

A. Explain why the given described is an onto mapping.

B. Create a own real-world example of an onto mapping without using a math formula
o Explain what set constitutes the domain.
o Explain what set constitutes the codomain.
o Explain what relationship exists between the elements in the domain and the elements in the range.

C. Explain how we could change the domain of the mapping in part B so that the mapping would no longer be onto.

D. Explain how we could change the codomain of the mapping in part B so that the mapping would no longer be onto.

Solution Preview

A. An onto mapping is one in which some member of the domain is mapped to every member of the range. As stated the Given statement is NOT onto if students are in the domain and mentors are in the range. On the other hand, if mentors are in the domain and students are in the range, then every member in the range (all students) is included in the mapping. In that case, the mapping is ...

Solution Summary

This solution addresses domain and codomain.

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