Determine Whether the Relation Represents a Function

question 71

Multiple Choice

Determine whether the relation represents a function. If it is a function, state the domain and range.
-{(41, -2) , (5, -1) , (5, 0) , (6, 1) , (14, 3) }

• A)not a function
• B)function
• C)function domain: {-2, -1, 0, 1, 3} domain: {41, 6, 5, 14}
• Range: {41, 6, 5, 14} range: {-2, -1, 0, 1, 3}

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Definitions:

Existential Generalization

A form of inference where from a specific case one concludes the existence of an instance satisfying a particular condition.

Existential Instantiation

A logical principle stating that if something is said to exist, then a specific instance of that thing must also exist.

Universal Generalization

A logical operation that infers a general statement from specific cases, asserting that a property or relation holds for all members of a certain category.

Universal Instantiation

A logical rule that infers from the truth of a universally quantified statement about all members of a domain, the truth of that statement about any specific member.