Determine whether the relation represents a function. If it is a function, state the domain and range.
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A) function domain: {4, 6, 8, 10} Range: {24, 36, 48, 60}
B) function domain:{24, 36, 48, 60} range: {4, 6, 8, 10}
C) not a function

Question

Determine whether the relation represents a function. If it is a function, state the domain and range.
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A) function domain: {4, 6, 8, 10} Range: {24, 36, 48, 60} 
B) function domain:{24, 36, 48, 60} range: {4, 6, 8, 10} 
C) not a function

Quizplus · Accepted Answer

A is the correct choice because it lists a function with a domain of {4, 6, 8, 10} and a range of {24, 36, 48, 60}. Each input (domain value) maps to exactly one output (range value), satisfying the definition of a function. B cannot be correct because the domain and range are swapped. C is not correct because it is not a function, meaning there exists at least one input that maps to more than one output. The relation maps each value in the domain to exactly one value in the range, which satisfies the definition of a function. The domain is {4, 6, 8, 10} and the range is {24, 36, 48, 60}. Option B is the same as Option A, just with the domain and range switched, but it does not change the fact that it is a function. Option C is not a function because there are multiple outputs for some of the inputs.

Determine Whether the Relation Represents a Function