Question

a function is a certain type of relation that has which of the following characteristics?
there may be more than one correct choice. please select all that apply.

☐ any domain element can be paired with any number of range elements.
☐ the domain may contain some elements that are not paired with a range element.
☐ once a domain element is used in a pairing, it can never be paired with a different range element.
☐ while domain elements can be paired only once, range elements can be paired with any number of different domain elements.
☐ each domain element is paired exactly once with a range element.
☐ a domain element can be paired with no more than two different range elements.

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Explanation:

A function is defined such that every domain element maps to exactly one range element (no domain element maps to 0 or multiple range elements). Range elements can map to multiple domain elements, and domain elements cannot map to more than one range element.

Answer:

• Once a domain element is used in a pairing, it can never be paired with a different range element.
• While domain elements can be paired only once, range elements can be paired with any number of different domain elements.
• Each domain element is paired exactly once with a range element.