Determine whether the relation represents a function. If it is a function, state the domain and range.
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A)function domain: {5, 10, 15, 20} Range: {30, 60, 90, 120}
B)function domain:{30, 60, 90, 120} Range: {5, 10, 15, 20}
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: {5, 10, 15, 20} Range: {30, 60, 90, 120} 
B)function domain:{30, 60, 90, 120} Range: {5, 10, 15, 20} 
C)not a function

Quizplus · Accepted Answer

Option A represents a function with a domain of {5, 10, 15, 20} and range of {30, 60, 90, 120}. Each element in the domain has a unique corresponding element in the range. Option B represents the same relation as A, but with the domain and range reversed. Option C is not a function because there is at least one value in the domain that has multiple corresponding values in the range. A is the only choice that has a domain and range that are both defined in a way that passes the vertical line test, indicating that it is a function. B has a range that fails the vertical line test, and C is stated to not be a function.

Determine Whether the Relation Represents a Function